Question

Cscθ-Cotgθ*Cosθ= Senθ

Answer 1

Hola!

Respuesta:

${ \sin}^{2} \theta + { \cos}^{2} \theta = 1$

Explicación paso a paso:

∆) Solución:

$\csc \theta - \cot \theta \times \cos \theta = \sin \theta \\ \frac{1}{\sin \theta} - \frac{\cos \theta}{\sin \theta} \times \cos \theta= \sin \theta \\ \frac{1}{\sin \theta} - \frac{ {\cos</strong><strong>}^{2} </strong><strong> \theta}{\sin \theta} = \sin \theta \\ \\ \frac{1 - { \cos}^{2} \theta}{\sin \theta} = \sin \theta \\ 1 - { \cos}^{2} \theta = { \sin}^{2} \theta \\ 1 = { \sin}^{2} \theta + { \cos}^{2} \theta \\</strong><strong>\:</strong><strong> </strong><strong>\:</strong><strong> </strong><strong> { \sin}^{2} \theta + { \cos}^{2} \theta = 1</strong><strong>.</strong><strong>.</strong><strong>.</strong><strong> </strong><strong>Es</strong><strong> </strong><strong>\</strong><strong>:</strong><strong> </strong><strong>una</strong><strong> </strong><strong>\</strong><strong>:</strong><strong> </strong><strong>identidad</strong><strong> </strong><strong>\</strong><strong>:</strong><strong> </strong><strong>trigonométrica</strong><strong>!</strong><strong>$