SOLUTION: If cos theta = 1/3, theta in quadrant IV, find the exact value of Tan ( theta + pi/4)

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Question 931638: If cos theta = 1/3, theta in quadrant IV, find the exact value of Tan ( theta + pi/4)
Answer by lwsshak3(11628) About Me  (Show Source):
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If cos theta = 1/3, theta in quadrant IV, find the exact value of Tan ( theta + pi/4)
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cosx=1/3
sinx=-√(1-cos^2(x))=-√(1-1/9)=-√(8/9)=-√8/3
tanx=sin/cos=-√8/1=-√8
..
tan(x+π/4)=tanx+tan(π/4)/(1-tanx*tan(π/4))=(-√8+1)/(1+√8)