Question

Demuestra la siguiente identidad ctg (a)/cos (a)=csc (a)

Answer 1

$\frac{ \cot(x) }{ \cos(x) } = \csc(x) \\ \\ \cot(x) = \frac{ \cos(x) }{ \sin(x) } \\ \\ \frac{ \frac{ \cos(x) }{ \sin(x) } }{ \frac{ \cos(x) }{1} } = \frac{ \cos(x) \times 1 }{ \sin(x) \times \cos(x) } = \frac{1}{ \sin(x) } = \csc(x)$