If sin θ + cos θ = 1 , then sin θ cos θ =

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3.Trigonometrical Ratios, Functions and Identities

easy

If $\sin \theta + \cos \theta = 1$, then $\sin \theta \cos \theta = $

A

$0$

B

$1$

C

$2$

D

$0.5$

Solution

(a) $\sin \theta + \cos \theta = 1$

Squaring on both sides, we get

$ \Rightarrow {\sin ^2}\theta + {\cos ^2}\theta + 2\sin \theta \cos \theta = 1$

$\therefore \sin \theta \cos \theta = 0$.

Standard 11

Mathematics

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