Question

verificar la identidad trigonometrica de senx + cosx . ctgx =cscx

Answer 1

$senx + cosx.ctgx = cscx\\\\ senx + cosx.\frac{cosx}{senx}=cscx\\\\ \frac{sen^{2}x + cos^{2}x}{senx} =cscx\\ \\ Recordar que : sen^{2}x + cos^{2}x = 1\\\\ Entonces:\\\\ \frac{sen^{2}x + cos^{2}x}{senx} =cscx\\ \\ \frac{1}{senx} =cscx\\ \\ cscx = cscx$