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Question
Evaluate: sec2 18° - cosec2 72°
Sum
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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 21: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - EXERCISE 21 (F) [Page 334]
