SOLUTION: Find the exact value of each of the remaining trigonometric functions of theta: tan theta: -(root(33)/4) , cos theta < 0 Find: sin, cos, sec, csc

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact value of each of the remaining trigonometric functions of theta: tan theta: -(root(33)/4) , cos theta < 0 Find: sin, cos, sec, csc      Log On


   



Question 753282: Find the exact value of each of the remaining trigonometric functions of theta:
tan theta: -(root(33)/4) , cos theta < 0
Find: sin, cos, sec, csc

Answer by lwsshak3(11628) About Me  (Show Source):
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Find the exact value of each of the remaining trigonometric functions of theta:
tan theta: -(root(33)/4) , cos theta < 0
Find: sin, cos, sec, csc
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Given tanx=-√33/4 (reference angle in Q2 where cos<0 and sin>0)
hypotenuse=√(√33)^2+4^2)=√(33+16)=√49=7
cosx=-√33/7
sinx=4/7
tanx=-√33/4
secx=-7/√33
cscx=7/4
cotx=-4/√33