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Evaluate: Sec2 18° - Cosec2 72° - Mathematics

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Question

Evaluate: sec2 18° - cosec2 72°

Sum

Solution

sec2 18° - cosec2 72°
= [sec (90° - 72°)]2 - cosec2 72°
= cosec2 72° - cosec2 72°
= 0

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Complimentary Angles for Secant ( Sec ) and Cosecant ( Cosec )
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Chapter 25: Complementary Angles - Exercise 25 [Page 310]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 25 Complementary Angles
Exercise 25 | Q 1.6 | Page 310
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