Mathematics

[cos θ / (1 - tan θ)] - [sin² θ / (cos θ - sin θ)] = cos θ + sin θ

Trigonometric Identities

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Prove the following identities, where the angles involved are acute angles for which the trigonometric ratios are defined:
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cosec⁴ θ - cosec² θ = cot⁴ θ + cot² θ
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