SOLUTION: prove the following identity: sin theta cos theta - sec theta sin theta = -sin^2 theta tan theta

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Question 32479: prove the following identity:
sin theta cos theta - sec theta sin theta = -sin^2 theta tan theta
Answer by Fermat(136) About Me  (Show Source):
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sinθ.cosθ - secθ.sinθ = -sinēθ.tanθ
starting with the lhs, take out secθ,
(sinθ.cosēθ - sinθ)secθ
take out sinθ,
(cosēθ - 1).(sinθ/cosθ)
-(1-cosēθ)tanθ
-sinēθ.tanθ
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