How do you simplify tan t * cot t - sin^2 t?

2 Answers
Sep 1, 2015

cos^2t

Explanation:

tan tcot t= tan tx (1/tan t)=1
1-sin^2t=(sin^2 t+cos^2 t)-sin^2 t=cos^2t

Sep 1, 2015

This problem requires some trigonometric identities,here,
1) cotx=1/tanx
2)sin^2x+cos^2x=1 or cos^2x=1-sin^2x

Explanation:

1) tan t*cot t -sin^2t* = tan t 1/tan t-sin^2t........(putting identity .1)
= 1-sin^2t................(putting identity .2)
= cos^2t
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I hope this helps :)