Wie vereinfacht man $cot (x) \cdot sec (x)$ $cot (x) * sec (x)$ ?

$csc (x)$ $csc(x)$

$[1] cot (x) \cdot sec (x)$ $[1]" "cot(x)*sec(x)$

Quotient Identity: $cot (x) = \frac{cos (x)}{sin (x)}$ $cot(x)=cos(x)/sin(x)$

$[2] = \frac{cos (x)}{sin (x)} \cdot sec (x)$ $[2]" "=cos(x)/sin(x)*sec(x)$

Gegenseitige Identität: $sec (x) = \frac{1}{cos (x)}$ $sec(x)=1/cos(x)$

$[3] = \frac{cos (x)}{sin (x)} \cdot \frac{1}{cos (x)}$ $[3]" "=cos(x)/sin(x)*1/cos(x)$

$[4]" "=cancelcos(x)/(sin(x)cancelcos(x))$

$[5]" "=1/sin(x)$

Gegenseitige Identität: $1/sin(x)=csc(x)$

$[6]" "=color(blue)(csc(x))$

Wie vereinfacht man cot (x) * sec (x) cot(x)⋅sec(x) cot (x) * sec (x) ?