If and are two distinct roots of the equation

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

x_1

and

x_2

are two distinct roots of the equation

a\cos x+b\sin x=c

, then

\tan\left(\frac{x_1+x_2}{2}\right)

is equal to (1)

\frac{a}{b}

(2)

\frac{b}{a}

(3)

\frac{c}{a}

(4)

\frac{a}{c}