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Without Using Trigonometric Identity , Show that : Sin ( 50 ∘ + θ ) − Cos ( 40 ∘ − θ ) = 0 - Mathematics

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Question

Without using trigonometric identity , show that :

`sin(50^circ + θ) - cos(40^circ - θ) = 0`

Sum

Solution

`sin(50^circ + θ) - cos(40^circ - θ) = 0`

`sin(50^circ + θ) = cos[90^circ - (50^circ + θ)] = cos(40^circ - θ)`

`sin(50^circ + θ) - cos(40^circ - θ)`

= `cos(40^circ - θ)  - cos(40^circ - θ)`

= 0

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Chapter 21: Trigonometric Identities - Exercise 21.3

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 21 Trigonometric Identities
Exercise 21.3 | Q 3.03
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