SOLUTION: the exact value of Tan (theta) if cos(theta)=5/7 and theta is in quadrant 4

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Question 529679: the exact value of Tan (theta) if cos(theta)=5/7 and theta is in quadrant 4
Answer by lwsshak3(11628) About Me  (Show Source):
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the exact value of Tan (theta) if cos(theta)=5/7 and theta is in quadrant 4
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You are working with a right triangle in quadrant IV in which the cos of the reference angle=5/7.
The opposite side=-√(7^2-5^2)=-√(49-25)=-√24 (in quadrant IV)
Therefore, tan theta=-√24/5