સાબિત કરો કે, frac{cos 7 x+cos 5 x}{sin 7 x-sin 5 x}=cot x

English

Gujarati

Hindi

3.Trigonometrical Ratios, Functions and Identities

easy

સાબિત કરો કે, $\frac{\cos 7 x+\cos 5 x}{\sin 7 x-\sin 5 x}=\cot x$

Option A

Option B

Option C

Option D

Solution

we get,

$L.H.S.$ $=\frac{2 \cos \frac{7 x+5 x}{2} \cos \frac{7 x-5 x}{2}}{2 \cos \frac{7 x+5 x}{2} \sin \frac{7 x-5 x}{2}}$

$=\frac{\cos x}{\sin x}=\cot x= R.H.S.$

Standard 11

Mathematics

Share

Similar Questions

જો $x + \frac{1}{x} = 2\,\cos \theta ,$ તો ${x^3} + \frac{1}{{{x^3}}} = $

easy

જો $A + B + C = \frac{\pi }{2}$ થાય તો $tanA\,\, tanB + tanB\,\, tanC + tanC\,\, tanA$ =

normal

$\sqrt {2 + \sqrt {2 + 2\cos 4\theta } } = $

easy

જો $sin t + cos t = \frac{1}{5}$ હોય તો $tan \frac{t}{2}$ =

normal

$96 \cos \frac{\pi}{33} \cos \frac{2 \pi}{33} \cos \frac{4 \pi}{33} \cos \frac{8 \pi}{33} \cos \frac{16 \pi}{33}=……………$

medium

(JEE MAIN-2023)