Question

1. Demuestra las siguientes identidades
sin ß + cos ß cot ß = csc ß​

Answer 1

Respuesta:

$\sin \beta +\cos \beta \cot \beta=\sin \beta +\cos \beta \frac{\cos \beta }{\sin \beta}= \sin \beta+\frac{\cos^2 \beta }{\sin \beta}=\sin \beta+\frac{1-\sin^2 \beta }{\sin \beta}=\frac{\sin^2\beta+1-\sin^2\beta}{y} =\frac{1}{\sin \beta} =\csc \beta$