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Prove that Sin θ Sin( 90° - θ) - Cos θ Cos( 90° - θ) = 0 - Mathematics

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Question

Prove that sin θ sin( 90° - θ) - cos θ cos( 90° - θ) = 0

Sum

Solution

LHS = sin θ sin( 90° - θ) - cos θ cos( 90° - θ)

= sin θ . cos θ - cos θ . sin θ

= 0
= RHS
Hence proved.

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Chapter 18: Trigonometry - Exercise 2

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ICSE Mathematics [English] Class 10
Chapter 18 Trigonometry
Exercise 2 | Q 26
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