Question

prove that cos theta tan theta = sin theta

Answer 1

SOLUTION

TO PROVE

$\sf{ \cos \theta \: \tan \theta = \sin \theta}$

FORMULA TO BE IMPLEMENTED

We are aware of the Trigonometric formula that

$\displaystyle \sf{ \: \tan \theta = \frac{\sin \theta}{\cos \theta } }$

PROOF

We have to prove that

$\sf{ \cos \theta \: \tan \theta = \sin \theta}$

Now

LHS

$\displaystyle \sf{ = \cos \theta\: \tan \theta }$

$\displaystyle \sf{ = \cos \theta\: \times \frac{\sin \theta}{\cos \theta } }$

$\displaystyle \sf{ = \sin \theta\: }$

= RHS

Hence proved

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Answer 2

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