Question

The number of values of $\lbrack 0,5\pi\rbrack$ in [0, 2π] satisfying the equation $\alpha,\pi - \alpha,$ are.

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

Answer: (A)

0

Answer 2

$- 1 \leq y \leq 1(\because\text{ } - 1 \leq \sin 2x \leq 1)$ $\geq 0$

$\Rightarrow 3 + 2\alpha \geq 0$,

which is imaginary, hence no solution.