Question

demuestre que :
\tan (x)+\cot (x)=\sec (x)\csc (x)

Answer 1

Explicación paso a paso:

$tan(x)+cot(x)\\\\\frac{sen(x)}{cos(x)} +\frac{cos(x)}{sen(x)} \\\\\frac{sen(x)sen(x)+cos(x)cos(x)}{sen(x)cos(x)} \\\\\frac{sen^{2}(x)+cos^2(x) }{sen(x)cos(x)} \\\\\frac{1}{sen(x)cos(x)} \\\\\frac{1}{sen(x)}\ . \frac{1}{cos(x)} \\\\csc(x).sec(x)$