Q50 of 76 Page 52

If sin θ + cos θ = 1, then the value of sin 2θ is equal to

Given that, sin θ + cos θ = 1


Squaring both sides, we get


⇒ (sin θ + cos θ)2 = 1


⇒ sin2θ + cos2θ + 2sin θ cos θ = 1


⇒ 1 + sin2θ = 1


⇒ sin2θ = 1-1


= 0

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