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Q) If Sin θ + cos θ = √3, then find the value of Sin θ . Cos θ
Ans: Given that Sin θ + cos θ = √3
Let’s square on both sides => (Sin θ + cos θ)2 = (√3) 2
⇒ Sin2 θ + Cos2 θ +2 Sin θ Cos θ = 3
⇒ 1 +2 Sin θ Cos θ = 3
⇒ 2 Sin θ Cos θ = 2
⇒Sin θ Cos θ = 1
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