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If sin A + cos $A = 2$ , a student is asked to find the value of sin A * cos A.
Use a suitable identity.

Class 10Trigonometric IdentitiesTrigonometry

A $\frac{1}{2}$
B1
C $2$
D0

Step-by-Step Solution

Square both sides:

(s in A + cos A)^{2} = 2

, so

s i

n^{2}

A +

co

s^{2} A + 2

sin A cos

A = 2

. Thus 1 + 2 sin A cos

A = 2

, giving sin A cos

A = \frac{1}{2}

.

Answer: A)

\frac{1}{2}

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