SOLUTION: Find the values of the trigonometric functions of &#952; from the information given. cot &#952; = 1/3 , sin &#952; < 0

Algebra ->  Trigonometry-basics -> SOLUTION: Find the values of the trigonometric functions of &#952; from the information given. cot &#952; = 1/3 , sin &#952; < 0      Log On


   

Question 767850: Find the values of the trigonometric functions of θ from the information given. cot θ = 1/3
, sin θ < 0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Since we know that , we can write:



Square both sides:



Use the Pythagorean Identity:



A little algebra



So



But we were given , so:



Since and , we know that also.

Since , we can quickly derive . I'll leave the details of that to you.

Now that we know three of the six functions, the rest are just reciprocals.







You can do the arithmetic.

John

My calculator said it, I believe it, that settles it
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