SOLUTION: sec theta =5/2 theta in quadrant 4. find tan theta

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Question 953466: sec theta =5/2 theta in quadrant 4. find tan theta
Answer by lwsshak3(11628) About Me  (Show Source):
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sec theta =5/2 theta in quadrant 4. find tan theta
sec theta=1/cos theta=5/2
cos theta=2/5
sin theta=-√(1-cos^2 theta)=-√(1-4/25)=-√(21/25)=-√21/5
tan theta=sin theta/cos theta=-√21/2