Question

prove that sinA=secA​

Answer 1

please mark brain list..

Answer 2

SOLUTION

CORRECT QUESTION

TO PROVE

$\displaystyle \sf{ \sin A \tan A + \cos A = \sec A}$

EVALUATION

Here we have to prove that

$\displaystyle \sf{ \sin A \tan A + \cos A = \sec A}$

Now

LHS

$\displaystyle \sf{ = \sin A \tan A + \cos A }$

$\displaystyle \sf{ = \sin A. \frac{\sin A}{\cos A} + \cos A }$

$\displaystyle \sf{ = \frac{{\sin }^{2} A}{\cos A} + \cos A }$

$\displaystyle \sf{ = \frac{{\sin }^{2} A +{\cos }^{2} A }{\cos A} }$

$\displaystyle \sf{ = \frac{1 }{\cos A} }$

$\displaystyle \sf{ = \sec A}$

= RHS

Hence proved

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