# SOLUTION: Find the remaining trigonometric functions of &#952; if csc(&#952;) = 17/8 and cos(&#952;) < 0.

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: Find the remaining trigonometric functions of &#952; if csc(&#952;) = 17/8 and cos(&#952;) < 0.       Log On

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 483475: Find the remaining trigonometric functions of θ if csc(θ) = 17/8 and cos(θ) < 0. Answer by stanbon(57219)   (Show Source): You can put this solution on YOUR website!Find the remaining trigonometric functions of θ if csc(θ) = 17/8 and cos(θ) < 0. ---- csc positive and cos negative , so theta in QII ----------------------------------------------------- csc = r/y ; so r = 17 and y = 8 --- therefore x = sqrt[17^2-8^2] = sqrt[225] = 15 --- But x is negative in QII so x = -15 ---- sin = y/r = 8/17 cos = x/r = -15/17 tan = y/x = -8/15 --- csc = r/y = 17/8 sec = r/x = -17/15 cot = x/y = -15/8 ===================== Cheers, Stan H. =====================