Q3 of 31 Page 316

If two angles and are complementary angle, let us show that

sin2α + sin2β = 1

Given, two angles are complementary = 90°


⇒ sin2α + sin2β


⇒ sin2α + sin2(90 - α)


⇒ sin2α + cos2α


= 1


[sin2θ + cos2θ = 1]


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