# SOLUTION: given that tan of theta= 11/6, find the other five trigonometric functions of theta.

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: given that tan of theta= 11/6, find the other five trigonometric functions of theta.      Log On

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 Question 258997: given that tan of theta= 11/6, find the other five trigonometric functions of theta.Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!SInce TAN (THETA) is positive, it could be in first or third quadrant. We have actually two possible sets of answers. I will assume you want only first quadrant. FIRST QUADRANT answers: tan is opposite over adjacent. We need hypotenuse using Pythagorean theorem as a^2 + b^2 + c^2 or 6^2 + 11^2 = c^2 36 + 121 = c^2 157 = c^2 sqrt(157) ~ 12.53 ~ c. sin = 11/sqrt(157) cos = 6/sqrt(157) tan = 11/6 csc = sqrt(157)/11 sec = sqrt(157)/6 cot = 6/11