Question

calcular el siguiente ejercicio

Answer 1

Respuesta:

aplica las identidades

Csc x =   $\frac{1}{sen x}$

tan x = $\frac{cos x }{sen x}$

Cot x =  $\frac{cos x }{sen x }$

$\frac{\csc \left(x\right)}{\tan \left(x\right)+\cot \left(x\right)}=\cos \left(x\right)$

$\frac{\frac{1}{\sin \left(x\right)}}{\frac{\cos \left(x\right)}{\sin \left(x\right)}+\frac{\sin \left(x\right)}{\cos \left(x\right)}}$

$\frac{1}{\sin \left(x\right)\left(\frac{\cos \left(x\right)}{\sin \left(x\right)}+\frac{\sin \left(x\right)}{\cos \left(x\right)}\right)}$

$\frac{1}{2\sin \left(x\right)\csc \left(2x\right)}$

$\frac{1}{\sec \left(x\right)}$

$\cos \left(x\right)$