Phantom_Beast23 wrote:
Adam-and-Eve001 wrote:
did you search that up lol
Yes, they used the Symbolab Trigonometry Calculator.
Is someone here willing to help me with trigonometry
Sort:
2Ke21-0 wrote:
Phantom_Beast23 wrote:
Adam-and-Eve001 wrote:
did you search that up lol
Yes, they used the Symbolab Trigonometry Calculator.
believe it or not, I actually UsEd mY bRaIn to figure it out
Dec 31, 2020
0
#24
Phantom_Beast23 wrote:
2Ke21-0 wrote:
Phantom_Beast23 wrote:
Adam-and-Eve001 wrote:
did you search that up lol
Yes, they used the Symbolab Trigonometry Calculator.
believe it or not, I actually UsEd mY bRaIn to figure it out
I choose option B: not. Having a brain is a prerequisite to using one.
2Ke21-0 wrote:
krazeechess wrote:
Ok I know how to solve it, now I have another problem. Why is this useful and why does it work? What is the true use of sine? What is the true meaning of all this? Why is it when you have this angle that this is the coordinate of the point where it intersects the unit circle? Why is the point (x,y) which means (cosine,sine)?
As for why trigonometric ratios are useful for practical purposes, they play a role in the physics concepts of dynamics, kinematics, and calculating vectors. As for why it works, sine, cosine, tangent, and cotangent are all just numbers — ratios to be exact and they all represent specific ratios of side lengths of a right triangle.
For example, lets say I wanted the cos of a 210 degrees angle. Then, I would have a circle on a coordinate plane and I would go 240 degrees from the line which is between the first quadrant and the fourth. I would go anticlockwise. Then, it would be 210 - 180 which would be a 30 degrees angle. I could draw a triangle with the 30 degrees being the extra after 180. Then, the point where the terminal side of the angle is intersecting the circle would be x , y aka cosine, sine. I don't get why this is true. Why is the cosine the x value? The cosine of the angle btw would be square root of 3 divided by 2. Here is an image.
Phantom_Beast23 wrote:
2Ke21-0 wrote:
Phantom_Beast23 wrote:
Adam-and-Eve001 wrote:
did you search that up lol
Yes, they used the Symbolab Trigonometry Calculator.
believe it or not, I actually UsEd mY bRaIn to figure it out
Believe it or not (well you better believe it), I did too
I like ow no one referred to my answer to the OG question xD
Jan 1, 2021
0
#28
krazeechess wrote:
2Ke21-0 wrote:
krazeechess wrote:
Ok I know how to solve it, now I have another problem. Why is this useful and why does it work? What is the true use of sine? What is the true meaning of all this? Why is it when you have this angle that this is the coordinate of the point where it intersects the unit circle? Why is the point (x,y) which means (cosine,sine)?
As for why trigonometric ratios are useful for practical purposes, they play a role in the physics concepts of dynamics, kinematics, and calculating vectors. As for why it works, sine, cosine, tangent, and cotangent are all just numbers — ratios to be exact and they all represent specific ratios of side lengths of a right triangle.
For example, lets say I wanted the cos of a 210 degrees angle. Then, I would have a circle on a coordinate plane and I would go 240 degrees from the line which is between the first quadrant and the fourth. I would go anticlockwise. Then, it would be 210 - 180 which would be a 30 degrees angle. I could draw a triangle with the 30 degrees being the extra after 180. Then, the point where the terminal side of the angle is intersecting the circle would be x , y aka cosine, sine. I don't get why this is true. Why is the cosine the x value? The cosine of the angle btw would be square root of 3 divided by 2. Here is an image.
If one of the angles of a right triangle is thirty degrees, then you need not use trigonometry to solve the problem but instead the 30-60-90 triangle theorem.
Jan 1, 2021
0
#29
I think you are misunderstanding the concept. The cosine is not an angle measurement — it is a ratio of the side adjacent to angle x to the hypotenuse.
Jan 1, 2021
0
#30
slabflow wrote:
krazeechess wrote:
Ok I know how to solve it, now I have another problem. Why is this useful and why does it work? What is the true use of sine? What is the true meaning of all this? Why is it when you have this angle that this is the coordinate of the point where it intersects the unit circle? Why is the point (x,y) which means (cosine,sine)?
Ok so first of all, you should realize sin, cos, etc are functions. What are functions? From algegra you know that for for x input functions yield y output.
In trigonometry inputs are degrees (or radians) and outputs are ratios.
For inverse functions your input is a ratio and your output is an angle.
It's useful for the same reason any function is useful, i.e. that if you want to know one thing (like an angle) you can figure it out by inputting a ratio (and vice versa).
The "true" use of sine and cosine, or at least a practical use of them, have to do with projection.
If you have a 1 meter long stick, and you put it in front of a flashlight, it might cast a 1 meter long shadow.
But if you hold the stick at an angle, how long is the shadow? Trigonometric functions will answer that for you. The angel the measuring stick makes with the flashlight will be cosine, the angle the measuring stick makes with the floor will be sine.
This has many practical uses. "Fourier series" is an easy example of practical application. Just google and youtube that... and note that if you're something like a teenager you probably wont understand the relationship right away. Just give it some time.
Jan 1, 2021
0
#31
slabflow wrote:
Apparently I'm too obvious lol.
Yeah, you created this account within hours of closing your jackie521 account, your writing style is the same and your insults are of the same nature. And you are around 2100 blitz rating strength.
2Ke21-0 wrote:
krazeechess wrote:
2Ke21-0 wrote:
krazeechess wrote:
Ok I know how to solve it, now I have another problem. Why is this useful and why does it work? What is the true use of sine? What is the true meaning of all this? Why is it when you have this angle that this is the coordinate of the point where it intersects the unit circle? Why is the point (x,y) which means (cosine,sine)?
As for why trigonometric ratios are useful for practical purposes, they play a role in the physics concepts of dynamics, kinematics, and calculating vectors. As for why it works, sine, cosine, tangent, and cotangent are all just numbers — ratios to be exact and they all represent specific ratios of side lengths of a right triangle.
For example, lets say I wanted the cos of a 210 degrees angle. Then, I would have a circle on a coordinate plane and I would go 240 degrees from the line which is between the first quadrant and the fourth. I would go anticlockwise. Then, it would be 210 - 180 which would be a 30 degrees angle. I could draw a triangle with the 30 degrees being the extra after 180. Then, the point where the terminal side of the angle is intersecting the circle would be x , y aka cosine, sine. I don't get why this is true. Why is the cosine the x value? The cosine of the angle btw would be square root of 3 divided by 2. Here is an image.
If one of the angles of a right triangle is thirty degrees, then you need not use trigonometry to solve the problem but instead the 30-60-90 triangle theorem.
ohhhhh, ixl tricked me into thinking I had to do trigonometry for this. ok well im going to do some more competition math and trigonometry now.
slabflow wrote:
And by the way, I didn't mean anything in this topic as an insult.
It's a common thing for students to say that after taking a math class they don't actually understand it. It's only after taking the math class after that it starts to make sense.
For example calculus makes more sense after a differential equations class... but differential equations will not make much sense until you do more work with them.
So if you're in trig class, these are very good questions you're asking, it's just you probably wont arrive at the answers immediately. Kids learn fast. It will probably only be a few more months right? And you'll already be in your next math class.
im not actually in a class or anything, im just doing ixl
krazeechess wrote:
2Ke21-0 wrote:
krazeechess wrote:
2Ke21-0 wrote:
krazeechess wrote:
Ok I know how to solve it, now I have another problem. Why is this useful and why does it work? What is the true use of sine? What is the true meaning of all this? Why is it when you have this angle that this is the coordinate of the point where it intersects the unit circle? Why is the point (x,y) which means (cosine,sine)?
As for why trigonometric ratios are useful for practical purposes, they play a role in the physics concepts of dynamics, kinematics, and calculating vectors. As for why it works, sine, cosine, tangent, and cotangent are all just numbers — ratios to be exact and they all represent specific ratios of side lengths of a right triangle.
For example, lets say I wanted the cos of a 210 degrees angle. Then, I would have a circle on a coordinate plane and I would go 240 degrees from the line which is between the first quadrant and the fourth. I would go anticlockwise. Then, it would be 210 - 180 which would be a 30 degrees angle. I could draw a triangle with the 30 degrees being the extra after 180. Then, the point where the terminal side of the angle is intersecting the circle would be x , y aka cosine, sine. I don't get why this is true. Why is the cosine the x value? The cosine of the angle btw would be square root of 3 divided by 2. Here is an image.
If one of the angles of a right triangle is thirty degrees, then you need not use trigonometry to solve the problem but instead the 30-60-90 triangle theorem.
ohhhhh, ixl tricked me into thinking I had to do trigonometry for this. ok well im going to do some more competition math and trigonometry now.
IXL xD
Jan 1, 2021
0
#37
slabflow wrote:
And by the way, I didn't mean anything in this topic as an insult.
It's a common thing for students to say that after taking a math class they don't actually understand it. It's only after taking the math class after that it starts to make sense.
For example calculus makes more sense after a differential equations class... but differential equations will not make much sense until you do more work with them.
So if you're in trig class, these are very good questions you're asking, it's just you probably wont arrive at the answers immediately. Kids learn fast. It will probably only be a few more months right? And you'll already be in your next math class.
No, you did not insult anybody on this topic. I was referring to your insults in the topic "True or False: Chess is a draw with best play from both sides"
Jan 1, 2021
0
#38
krazeechess wrote:
2Ke21-0 wrote:
krazeechess wrote:
2Ke21-0 wrote:
krazeechess wrote:
Ok I know how to solve it, now I have another problem. Why is this useful and why does it work? What is the true use of sine? What is the true meaning of all this? Why is it when you have this angle that this is the coordinate of the point where it intersects the unit circle? Why is the point (x,y) which means (cosine,sine)?
As for why trigonometric ratios are useful for practical purposes, they play a role in the physics concepts of dynamics, kinematics, and calculating vectors. As for why it works, sine, cosine, tangent, and cotangent are all just numbers — ratios to be exact and they all represent specific ratios of side lengths of a right triangle.
For example, lets say I wanted the cos of a 210 degrees angle. Then, I would have a circle on a coordinate plane and I would go 240 degrees from the line which is between the first quadrant and the fourth. I would go anticlockwise. Then, it would be 210 - 180 which would be a 30 degrees angle. I could draw a triangle with the 30 degrees being the extra after 180. Then, the point where the terminal side of the angle is intersecting the circle would be x , y aka cosine, sine. I don't get why this is true. Why is the cosine the x value? The cosine of the angle btw would be square root of 3 divided by 2. Here is an image.
If one of the angles of a right triangle is thirty degrees, then you need not use trigonometry to solve the problem but instead the 30-60-90 triangle theorem.
ohhhhh, ixl tricked me into thinking I had to do trigonometry for this. ok well im going to do some more competition math and trigonometry now.
Not going to lie, IXL is dead. Khan Academy is better in my opinion and free of cost.
2Ke21-0 wrote:
krazeechess wrote:
2Ke21-0 wrote:
krazeechess wrote:
2Ke21-0 wrote:
krazeechess wrote:
Ok I know how to solve it, now I have another problem. Why is this useful and why does it work? What is the true use of sine? What is the true meaning of all this? Why is it when you have this angle that this is the coordinate of the point where it intersects the unit circle? Why is the point (x,y) which means (cosine,sine)?
As for why trigonometric ratios are useful for practical purposes, they play a role in the physics concepts of dynamics, kinematics, and calculating vectors. As for why it works, sine, cosine, tangent, and cotangent are all just numbers — ratios to be exact and they all represent specific ratios of side lengths of a right triangle.
For example, lets say I wanted the cos of a 210 degrees angle. Then, I would have a circle on a coordinate plane and I would go 240 degrees from the line which is between the first quadrant and the fourth. I would go anticlockwise. Then, it would be 210 - 180 which would be a 30 degrees angle. I could draw a triangle with the 30 degrees being the extra after 180. Then, the point where the terminal side of the angle is intersecting the circle would be x , y aka cosine, sine. I don't get why this is true. Why is the cosine the x value? The cosine of the angle btw would be square root of 3 divided by 2. Here is an image.
If one of the angles of a right triangle is thirty degrees, then you need not use trigonometry to solve the problem but instead the 30-60-90 triangle theorem.
ohhhhh, ixl tricked me into thinking I had to do trigonometry for this. ok well im going to do some more competition math and trigonometry now.
Not going to lie, IXL is dead. Khan Academy is better in my opinion and free of cost.
yeyesyeysyesyesyesyes
2Ke21-0 wrote:
krazeechess wrote:
2Ke21-0 wrote:
krazeechess wrote:
2Ke21-0 wrote:
krazeechess wrote:
Ok I know how to solve it, now I have another problem. Why is this useful and why does it work? What is the true use of sine? What is the true meaning of all this? Why is it when you have this angle that this is the coordinate of the point where it intersects the unit circle? Why is the point (x,y) which means (cosine,sine)?
As for why trigonometric ratios are useful for practical purposes, they play a role in the physics concepts of dynamics, kinematics, and calculating vectors. As for why it works, sine, cosine, tangent, and cotangent are all just numbers — ratios to be exact and they all represent specific ratios of side lengths of a right triangle.
For example, lets say I wanted the cos of a 210 degrees angle. Then, I would have a circle on a coordinate plane and I would go 240 degrees from the line which is between the first quadrant and the fourth. I would go anticlockwise. Then, it would be 210 - 180 which would be a 30 degrees angle. I could draw a triangle with the 30 degrees being the extra after 180. Then, the point where the terminal side of the angle is intersecting the circle would be x , y aka cosine, sine. I don't get why this is true. Why is the cosine the x value? The cosine of the angle btw would be square root of 3 divided by 2. Here is an image.
If one of the angles of a right triangle is thirty degrees, then you need not use trigonometry to solve the problem but instead the 30-60-90 triangle theorem.
ohhhhh, ixl tricked me into thinking I had to do trigonometry for this. ok well im going to do some more competition math and trigonometry now.
Not going to lie, IXL is dead. Khan Academy is better in my opinion and free of cost.
Yeah ig but khan academy only has like 4 questions and then your done. I think I will watch the videos in khan academy and then do the practice in IXL. Also, the IXL which I have is free because my 5th grade teacher (im in 6th grade) forgot to cancel the membership after the school year so I still have it.
Ok I know how to solve it, now I have another problem. Why is this useful and why does it work? What is the true use of sine? What is the true meaning of all this? Why is it when you have this angle that this is the coordinate of the point where it intersects the unit circle? Why is the point (x,y) which means (cosine,sine)?
As for why trigonometric ratios are useful for practical purposes, they play a role in the physics concepts of dynamics, kinematics, and calculating vectors. As for why it works, sine, cosine, tangent, and cotangent are all just numbers — ratios to be exact and they all represent specific ratios of side lengths of a right triangle.
Yes.