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Evaluate: Sin2 35° - Cos2 55° - Mathematics

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Question

Evaluate: sin2 35° - cos2 55°

Sum

Solution

sin2 35° - cos2 55°
= sin2 35° - [cos(90° - 35°)]2
= sin2 35° - sin2 35°
= 0

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Complementary Angles for Sine ( Sin ) and Cosine ( Cos )
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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 2.2 | Page 310
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