Determining angles and the 6 trig functions? D:

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To determine angles and the six trigonometric functions, it's essential to understand the relationships between sine, cosine, tangent, and their reciprocals. The unit circle is a key concept, where the radius (r) is always 1. Given a point on the unit circle, the coordinates (x, y) can be used to find the values of sin, cos, and tan using the formulas sin = y/r, cos = x/r, and tan = y/x. Since r is 1, the equations simplify to sin = y, cos = x, and tan = y/x. Understanding these relationships is crucial for solving problems related to angles and trigonometric functions.
toyotadude
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Homework Statement




SANY0133.jpg



The Attempt at a Solution



No attempt, don't even know where to start. I get a point... I can draw a triangle out of it. I can figure out the X and the Y.

I know the 6 equations... Sin, Cos, Tan, and the opposites Cosecant, Secant, and Cotangent...

I know sin = y/r, cos = x/r, tan = y/x, and flipped for the opposites of them.

And now I'm lost... :'(
 
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Looks like these points are on the unit circle. So, what is the radius of the unit circle?
 
toyotadude said:

Homework Statement




SANY0133.jpg



The Attempt at a Solution



No attempt, don't even know where to start. I get a point... I can draw a triangle out of it. I can figure out the X and the Y.

I know the 6 equations... Sin, Cos, Tan, and the opposites Cosecant, Secant, and Cotangent...

I know sin = y/r, cos = x/r, tan = y/x, and flipped for the opposites of them.

And now I'm lost... :'(
Yes, and you are given x and y for each. Since this is on the unit circle, r= 1.
 

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