SSC CGL 4 Sep 2016 Paper

Question : 62 of 100

Marks: +1, -0

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

Solution:

sinθ + cosθ = 1
On squaring,

(sinθ + cosθ)^2

= 1⇒

sin^2

θ +

cos^2

θ + 2 sinθ. cosθ = 1
⇒ 1 + 2 sin θ . cos θ = 1
⇒ 2 sin θ . cos θ = 1 – 1 = 0
⇒ sin θ . cos θ = 0

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