Question 62

If sinθ + cosθ = 1, then the sinθ cosθ is equal to

Solution

Given : $$sin\theta+cos\theta=1$$

Squaring both sides,

=> $$(sin\theta+cos\theta)^2=1$$

=> $$sin^2\theta+cos^2\theta+2sin\theta cos\theta=1$$

Using, $$(sin^2\theta+cos^2\theta=1)$$

=> $$1+2sin\theta cos\theta=1$$

=> $$2sin\theta cos\theta=1-1=0$$

=> $$sin\theta cos\theta=0$$

=> Ans - (A)

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