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(1+cos theta)(1-cos theta)(1+cot^(2)thet...

`(1+cos theta)(1-cos theta)(1+cot^(2)theta)=1`

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Simplify (1-cos theta ) (1+cos theta ) (1+ cot ^(2) theta) .

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(1 - cos^(2)theta)cot^(2)theta

(1 - cos^(2)theta)cot^(2)theta

Prove that (1+cos theta)/(1-cos theta)+(1-cos theta)/(1+cos theta)=4cot theta*cos theta

(sin^(3) theta-cos^(3) theta)/(sin theta - cos theta)- (cos theta)/sqrt(1+ cot^(2) theta)-2 tan theta cot theta=-1 if