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Prove the Following Identity : SinθCotθ + SinθCosecθ = 1 + Cosθ - Mathematics

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Question

Prove the following identity :

sinθcotθ + sinθcosecθ = 1 + cosθ  

Sum

Solution

sinθcotθ + sinθcosecθ = 1 + cosθ  

LHS = `sinθcosθ/sinθ + sinθ1/sinθ`

= cosθ + 1 = RHS

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Chapter 21: Trigonometric Identities - Exercise 21.1

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 21 Trigonometric Identities
Exercise 21.1 | Q 1.06
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