verificar (csc(θ))/(sec(θ))=cot(θ)

Solución

verificar

\frac{csc ( θ )}{sec ( θ )} = cot (θ)

Verdadero

Pasos de solución

\frac{csc ( θ )}{sec ( θ )} = cot (θ)

Manipular el lado derecho

\frac{csc ( θ )}{sec ( θ )}

Expresar con seno, coseno

= \frac{cos ( θ )}{sin ( θ )}

Utilizar la identidad trigonométrica básica:

\frac{cos ( x )}{sin ( x )} = cot (x)

= cot (θ)

Se demostró que ambos lados pueden tomar la misma forma

\Rightarrow Verdadero

sec (x) csc (x) = tan (x) + cot (x)

sin (x) \cdot sec (x) = tan (x)

cot (B) sin (B) = cos (B)

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

\frac{csc ^{2} ( x )}{sec ^{2} ( x )} = csc^{2} (x) - 1