Question

tgx + cotgx = secx. cossecx

Answer 1

Resposta:

Explicação passo-a-passo:

$tgx+cotgx=\dfrac{senx}{cosx}+\dfrac{cosx}{senx}\\\\tgx+cotgx=\dfrac{sen^{2}x+cos^{2}x}{cosx.senx}\\\\tgx+cotgx=\dfrac{1}{cosx.senx}\\\\tgx+cotgx=\dfrac{1}{cosx}.\dfrac{1}{senx}\\\\\\tgx+cotgx=secx.cossecx$