Question

alguien sabe como resolver esto​

Answer 1

a)
$\frac{1}{ \sin(\theta) } - \sin(\theta) = \frac{ \cos(\theta) }{ \sin(\theta) } \times \cos(\theta)$
$\frac{1 - { \sin(\theta) }^{2} }{ \sin(\theta) } = \frac{ { \cos(\theta) }^{2} }{ \sin(\theta) } \:$
$1 - { \sin(\theta) }^{2} = { \cos(\theta) }^{2}$
$1 = { \cos(\theta) }^{2} + { \sin(\theta) }^{2}$
$1 = 1$


b)
$\sin(x) + \cos(x) \times \cot(x) = \csc(x)$
$\sin(x) + \cos(x) \times \frac{ \cos(x) }{ \sin(x) } = \csc(x)$
$\frac{{ \sin(x)}^{2} + {\cos(x)}^{2} }{ \sin(x) } = \csc(x)$
$\frac{1}{ \sin(x) } = \csc(x)$
$1 = \csc(x) \times \sin(x)$
$1 = \frac{1}{ \sin(x) } \times \sin(x)$
$1 = 1$