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If sin A + sin2A = 1, then find the value of the expression (cos2A + cos4A).

 

 

Answers (1)

Given: sin A + sin 2 A = 1

 sin A = 1 – sin2 A

 sin A = cos2 A ....(i)

Squaring both sides

sin2A = cos4A .....(ii)

Add equations (i) and (ii)

sin A + sin2A  = cos2A + cos4A = 1

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Safeer PP

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