If , then the value of is equal…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If

A + B + C = 180^\circ

,

\frac{\sin 2A + \sin 2B + \sin 2C}{\sin A + \sin B + \sin C} = k \sin \frac{A}{2}

\sin \frac{B}{2} \sin \frac{C}{2}

then the value of

3k^3 + 2k^2 + k + 1

is equal to

Related theory

Browse the problem library