SOLUTION: verify the identity and justify each step for tan Q + cot Q = 1/sin Q*cos Q also for cos[Q-pi/2] = -tan Q

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Question 772771: verify the identity and justify each step for tan Q + cot Q = 1/sin Q*cos Q
also for cos[Q-pi/2] = -tan Q

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
verify the identity and justify each step for tan Q + cot Q = 1/sin Q*cos Q
also for cos[Q-pi/2] = -tan Q
***
Start with left-hand side:

verified:
left-hand side=right-hand side
note: Identity: sin^2Q+cos^2Q=1