Question

please answer fastly. explain how?

Answer 1

Here is your answer....hope it helps youuuuuu

Answer 2

Answer:

$\boxed{Option\:A}$

Step-by-step explanation:

We know that:

$(a + b + c )^2 = a^2 + b^2 + c^2 + 2( ab + bc + ac )$

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

$\implies 1 + 1 + 2 sin\theta + 2 cos\theta + 2sin\theta cos\theta$

$\implies 2 ( 1 + sin\theta ) + 2 cos\theta( 1 + sin\theta)$

$\implies (1 + sin\theta)(2 + 2cos\theta)$

$\implies 2(1+sin\theta)(1+cos\theta)$

Your answer is Option A

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