Question

prove that
SinA.SecA=tanA
​

Answer 1

Given:

$\large{SinA\:SecA\:=\:tanA}$

Left hand side :

$\large\rightarrow{SinA\:×\:\frac{1}{CosA}}\:\:\:----\:\:\:\{\small{\frac{1}{Cos{\theta}}\:=\:Sec{\theta}}\}$

$\large\rightarrow{\frac{1\:×\:SinA}{CosA}}$

$\large\rightarrow{\frac{SinA}{CosA}\:\:\:\:----\:\{\small{\frac{Sin{\theta}}{Cos{\theta}}\:=\:tan{\theta}}}\}$

$\large\rightarrow{\frac{SinA}{CosA}\:=\:tanA}$

Right hand side :

$\large\rightarrow{tanA}$

$\large\mathscr\pink{Hence \:proved\: ! }$