$\"\"$

The equation is $\"\"$ .

The left side is more complicated, so start with it.

$\"\"$ (Write left side of equation)

$\"\"$ (Apply reciprocal and quotient identities)

$\"\"$ (Apply LCM rule)

$\"\"$ (Multiply)

$\"\"$ (Apply pythagorean identity) $\"\"$

$\"\"$ (Apply LCM rule)

$\"\"$ (Multiply)

$\"\"$ (Simplify)

$\"\"$ (Apply pythagorean identity)

$\"\"$ (Reciprocal identity)

So, the trigonometric identity is verified. $\"\"$

The trigonometric identity is verified.