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Mathematics

Evaluate:

sec2 18° - cosec2 72°

Trigonometric Identities

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Answer

sec2 18° - cosec2 72°

= sec2 (90° - 72°) - cosec2 72°

= cosec2 72° - cosec2 72°

= 0

Hence, sec2 18° - cosec2 72° = 0.

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