verificar (cot(x)+csc(x)cos(x))/(cot(x))=2

Solución

verificar

\frac{cot ( x ) + csc ( x ) cos ( x )}{cot ( x )} = 2

Verdadero

Pasos de solución

\frac{cot ( x ) + csc ( x ) cos ( x )}{cot ( x )} = 2

Manipular el lado derecho

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

Expresar con seno, coseno

= 2

Se demostró que ambos lados pueden tomar la misma forma

\Rightarrow Verdadero

sec (θ) - cos (θ) = sin (θ) \cdot tan (θ)

(2 sin (x) + cos (x))^{2} + (2 cos (x) - sin (x))^{2} = 5

cos (a) (sec (a) - cos (a)) = sin^{2} (a)

tan (x) cos (x) csc (x) = 1

1 + cos (x) = 2 cos^{2} (\frac{x}{2})