SOLUTION: Find the values of the six trigonometric functions of the angle θ in the given triangle if b = 8 and c = 9.

Algebra ->  Trigonometry-basics -> SOLUTION: Find the values of the six trigonometric functions of the angle θ in the given triangle if b = 8 and c = 9.       Log On


   



Question 1030399: Find the values of the six trigonometric functions of the angle θ in the given triangle if b = 8 and c = 9.
Answer by ikleyn(52834) About Me  (Show Source):
You can put this solution on YOUR website!
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Find the values of the six trigonometric functions of the angle θ in the given triangle if b = 8 and c = 9.
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sin%28theta%29 = 8%2F9,  cos%28theta%29 = sqrt%281+-+%288%2F9%29%5E2%29 = sqrt%281+-+64%2F81%29 = sqrt%28%2881-64%29%2F81%29 = sqrt%2817%2F81%29 = sqrt%2817%29%2F9.

if the leg "b" is opposite to the angle  theta,  or

cos%28theta%29 = 8%2F9,  sin%28theta%29 = sqrt%2817%29%2F9,

if the leg "b" is adjacent to the angle  theta.


It should be enough for you to find the remaining trigonometric functions.