SOLUTION: simplify cos(360 - theta) cosec(180 + theta) cot(90 - theta) / sec(90 + theta) cos(-theta).

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Question 984467: simplify cos(360 - theta) cosec(180 + theta) cot(90 - theta) / sec(90 + theta) cos(-theta).
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
cos(360-theta)= cos(theta)
cosec(180+theta)= -cosec(theta)
cot(90-theta)=-tan(theta)
sec(90+theta)=-cosec(theta)
cos(360 - theta) cosec(180 + theta) cot(90 - theta) / sec(90 + theta) cos(-theta)
=cos(theta)*(-cosec(theta))*(-tan(theta))/-cosec(theta)*cos(theta)
=1/(-cot(theta)
=-tan(theta)
Result:-tan(theta)