Let and be any two positive values of for which ,

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

Problem

Let

\alpha

and

\beta

be any two positive values of

x

for which

2\cos x

|\cos x|

, and

1-3\cos^2x

are in GP. The minimum value of

|\alpha-\beta|

is (1)

\frac{\pi}{3}

(2)

\frac{\pi}{4}

(3)

\frac{\pi}{2}

(4) None of these