Question

If sin$\Theta$= $\frac{1}{2}$, then the value of sin$\Theta$ (sin$\Theta$ - cosec$\Theta$) is

• A. $\frac{3}{4}$
• B. $-\frac{3}{4}$
• C. $\frac{\sqrt{3}}{2}$
• D. $-\frac{\sqrt{3}}{2}$

Answer 1

Answer: (B)

$-\frac{3}{4}$

$\sin \theta =\frac{1}{2}$

$\Rightarrow \sin \theta (\sin \theta -cosec\theta )=\frac{1}{2}[\frac{1}{2}-2]$

$=\frac{1}{2}[-\frac{3}{2}]$

$=\frac{-3}{4}$

Hence, the answer is $\frac{-3}{4}.$