SOLUTION: Evaluate the expression under the given conditions.
cos(theta-psi); cos(theta)= 5/13, theta in Quadrant IV, tan(psi) = -sqrt(3), psi in Quadrant II
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Question 1155615: Evaluate the expression under the given conditions.
cos(theta-psi); cos(theta)= 5/13, theta in Quadrant IV, tan(psi) = -sqrt(3), psi in Quadrant II
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
cos(theta)=5/13 in quadrant IV --> sin(theta) = -12/13.
tan(psi) = -sqrt(3) in quadrant II --> sin(psi) = sqrt(3)/2, cos(psi) = -1/2.
cos(A-B) = cos(A)*cos(B)+sin(A)*sin(B)
Plug in the numbers and do the calculation.
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