Determining angles and the 6 trig functions? D:

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SUMMARY

The discussion centers on determining angles and the six trigonometric functions in relation to the unit circle. The user expresses confusion about starting the problem, despite knowing the definitions of sine, cosine, tangent, and their reciprocals: cosecant, secant, and cotangent. It is established that when working with the unit circle, the radius (r) is equal to 1, which simplifies the calculations for the trigonometric functions based on the coordinates (x, y).

PREREQUISITES
  • Understanding of the unit circle and its properties
  • Familiarity with the definitions of sine, cosine, and tangent
  • Knowledge of the reciprocal trigonometric functions: cosecant, secant, and cotangent
  • Basic skills in coordinate geometry
NEXT STEPS
  • Study the unit circle and its significance in trigonometry
  • Learn how to derive the values of sine, cosine, and tangent from given coordinates
  • Explore the relationships between the six trigonometric functions
  • Practice solving problems involving angles and the unit circle
USEFUL FOR

Students studying trigonometry, educators teaching trigonometric concepts, and anyone seeking to understand the application of trigonometric functions in relation to the unit circle.

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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