Question

Csco - Sen o = cot o coso​

Answer 1

Hola!

Explicación paso a paso:

■ Solución:

$\csc \: \theta - \sin \: \theta = \cot \: \theta . \cos \: \theta \\ \\ \frac{1}{ \sin \: \theta } - \sin \: \theta = \frac{ \cos \: \theta}{ \sin \: \theta} . \cos \: \theta \\ \\ \frac{1 - { \sin }^{2} \theta }{ \sin \: \theta} = \frac{ {\cos }^{2} \: \theta}{ \sin \: \theta } \\ \\ 1 - { \sin }^{2} \theta = {\cos }^{2} \: \theta \\ \\ 1 = { \sin }^{2} \theta + {\cos }^{2} \: \theta \\ \\ 1 = 1$