If $\sin \theta=\sin \alpha$, then

$\frac{\theta+\alpha}{2}$ is any odd multiple of $\pi$ and $\frac{\theta-\alpha}{2}$ is any multiple of $\pi$

$\frac{\theta+\alpha}{2}$ is any multiple of $\frac{\pi}{2}$ and $\frac{\theta-\alpha}{2}$ is any even multiple of $\pi$

$\frac{\theta+\alpha}{2}$ is any even multiple of $\frac{\pi}{2}$ and $\frac{\theta-\alpha}{2}$ is any odd multiple of $\pi$

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Medium

1 of 1

Analyzing +4 | -1

\sin \theta=\sin \alpha

, then

View answer and explanation

Correct option: A

\frac{\theta+\alpha}{2}

is any odd multiple of

\frac{\pi}{2}

and

\frac{\theta-\alpha}{2}

is any multiple of

\pi

Option A (

\frac{\theta+\alpha}{2}

is any odd multiple of

\frac{\pi}{2}

and

\frac{\theta-\alpha}{2}

is any multiple of

\pi

) is correct because it represents the general solution for the given trigonometric equation.