Question

reduce una expresión sen θ+cos θ*cot θ

Answer 1

Respuesta:

$\sin\theta+\cos\theta\cot\theta=\sin\theta+\cos\theta*\dfrac{\cos\theta}{\sin\theta}=\sin\theta+\dfrac{\cos^2\theta}{\sin\theta}=\sin\theta+\dfrac{1-\sin^2\theta}{\sin\theta}=\dfrac{\sin^2\theta+1-\sin^2\theta}{\sin\theta}=\dfrac{1}{\sin\theta}=\csc\theta$

En resumen

$\sin\theta+\cos\theta\cot\theta=\csc\theta$