If sec 4theta - sec 2theta = 2, then the gene | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(c) $\sec 4	heta - \sec 2	heta = 2$

$ \Rightarrow $ $\cos 2	heta - \cos 4	heta = 2\cos 4	heta \cos 2	heta $

$ \Rightarrow $ $ - \cos 4	he

Vedclass · Accepted Answer

$n\pi + \frac{\pi }{2}$or $\frac{{n\pi }}{5} + \frac{\pi }{{10}}$

Vedclass · Answer

(c) $\sec 4	heta - \sec 2	heta = 2$

$ \Rightarrow $ $\cos 2	heta - \cos 4	heta = 2\cos 4	heta \cos 2	heta $

$ \Rightarrow $ $ - \cos 4	heta = \cos 6	heta $

$ \Rightarrow $ $2\cos 5	heta \cos 	heta = 0$

$	heta = n\pi + {\pi\over{2}}$ or $\frac{{n\pi }}{5} + \frac{\pi }{{10}}$.

If $\sec 4\theta - \sec 2\theta = 2$, then the general value of $\theta $ is

Similar Questions

General solution of $eq^n\, 2tan\theta \, -\, cot\theta =\, -1$ is

No. of solution of equation $sin^{65}x\, -\, cos^{65}x =\, -1$ is, if $x \in (-\pi , \pi )$

Find the principal and general solutions of the equation $\cot x=-\sqrt{3}$

If $\alpha ,\,\beta ,\,\gamma $ and $\delta $ are the solutions of the equation $\tan \left( {\theta + \frac{\pi }{4}} \right) = 3\,\tan \,3\theta $ , no two of which have equal tangents, then the value of $tan\, \alpha + tan\, \beta + tan\, \gamma + tan\, \delta $ is

If $\cos 3x + \sin \left( {2x - \frac{{7\pi }}{6}} \right) = - 2$, then $x = $ (where $k \in Z$)