verificar (tan(x)cos(x))/(sin(x))=1

Solución

verificar

\frac{tan ( x ) cos ( x )}{sin ( x )} = 1

Verdadero

Pasos de solución

\frac{tan ( x ) cos ( x )}{sin ( x )} = 1

Manipular el lado derecho

\frac{tan ( x ) cos ( x )}{sin ( x )}

Expresar con seno, coseno

= 1

Se demostró que ambos lados pueden tomar la misma forma

\Rightarrow Verdadero

\frac{( sec ^{2} ( x ) )}{tan ( x )} = sec (x) csc (x)

cot (θ) csc (θ) tan^{2} (θ) = sec (θ)

\frac{cot ( x ) + cos ( x )}{1 + csc ( x )} = cos (x)

sin (z + \frac{π}{2}) = cos (z)

\frac{sec ( α )}{1 - cos ( α )} = \frac{sec ( α ) + 1}{sin ^{2} ( α )}