In a triangle $A B C$ the value of $\sin A+\sin B+\sin C$ is

$4 \sin \frac{A}{2} \sin \frac{B}{2} \sin \frac{C}{2}$

$4 \cos \frac{A}{2} \sin \frac{B}{2} \sin \frac{C}{2}$

$4 \cos \frac{A}{2} \sin \frac{B}{2} \cos \frac{C}{2}$

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

1 of 1

Understanding +4 | -1

In a triangle

A B C

the value of

\sin A+\sin B+\sin C

View answer and explanation

Correct option: B

4 \cos \frac{A}{2} \cos \frac{B}{2} \cos \frac{C}{2}

Option B (

4 \cos \frac{A}{2} \cos \frac{B}{2} \cos \frac{C}{2}

) is correct because it is the result of applying trigonometric identities to simplify the expression

\sin A + \sin B + \sin C