Find the principal solution of √ 1 + 2 s i n x 2 = 1 Options: A . &nbsp x = π 6 B . &nbsp x = π 3 C . &nbsp x = π 2 D . &nbsp x = π

Answer: Option A : A √ 1 + 2 s i n x 2 = 1 Squaring, we get 1 + 2 s i n x 2 = 1 1 + 2 s i n x = 2 2 s i n x = 1 s i n x = 1 2 x = π 6

Find the principal solution of √1+2sin x2=1

Question

Find the principal solution of $\sqrt{\frac{1 + 2 s i n x}{2}} = 1$

Options:

A .

x = \frac{π}{6}

B .

x = \frac{π}{3}

C .

x = \frac{π}{2}

D .

x = π

Answer: Option A
:
A

$\sqrt{\frac{1 + 2 s i n x}{2}} = 1$
Squaring, we get
$\frac{1 + 2 s i n x}{2} = 1 1 + 2 s i n x = 2 2 s i n x = 1 s i n x = \frac{1}{2} x = \frac{π}{6}$

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