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The trigonometric identity is $\"fraction$ .

Start with the left side,

$\"equal$

$\"equal$ (Apply reciprocal identity: $\"italic$ )

$\"equal$ (Simplify)

$\"\"$

$\"equal$ (Reciprocal of $\"fraction$ )

$\"equal$ (Simplify)

$\"equal$ (Multiply numerator and denominator by $\"begin$ )

$\"equal$ (Using formula: $\"Syntax$ )

$\"equal$ (Apply pythagorean identity: $\"Syntax$ )

Then left side identity and right side identity is equal. $\"\"$

The trigonometric identity is established.