यदि cos theta = frac{1}{2}left( {x + frac{1}{ | vedclass

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

Question

(b) दिया है   $\cos 	heta  = \frac{1}{2}\,\left( {x + \frac{1}{x}} ight)\,\, $

$\Rightarrow \,x + \frac{1}{x} = 2\,\cos 	heta $

Vedclass · Accepted Answer

$\cos \,2	heta $

Vedclass · Answer

(b) दिया है   $\cos 	heta  = \frac{1}{2}\,\left( {x + \frac{1}{x}} ight)\,\, $

$\Rightarrow \,x + \frac{1}{x} = 2\,\cos 	heta $

हम जानते हैं कि, ${x^2} + \frac{1}{{{x^2}}} = {\left( {x + \frac{1}{x}} ight)^2} - 2$

$ = {(2\cos 	heta )^2} - 2 = 4\,{\cos ^2}	heta  - 2 = 2\,\cos \,\,2	heta $

$	herefore \,\,\frac{1}{2}\,\left( {{x^2} + \frac{1}{{{x^2}}}} ight) $

$= \frac{1}{2} 	imes 2\,\cos \,2	heta  = \cos \,2	heta $

यदि $\cos \theta = \frac{1}{2}\left( {x + \frac{1}{x}} \right)$, तो $\frac{1}{2}\left( {{x^2} + \frac{1}{{{x^2}}}} \right) = $

Similar Questions

$\cot \frac{\pi}{24}$ का मान है

यदि $\tan \theta = \frac{{20}}{{21}},$ cos$\theta$

निम्नलिखित डिग्री माप के संगत रेडियन माप ज्ञात कीजिए

$-47^{\circ} 30^{\prime}$

यदि $\sin \theta + \cos \theta = 1$, तो $\sin \theta \cos \theta = $