{cos ^2},{10^o},, - ,cos ,,{10^o},cos ,,{50^o | vedclass

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

Question

$\frac{1}{2}\,(2\,{\cos ^2}{10^o}\, - \,2\cos \,{10^o}\,\cos \,{50^o} + \,2\,{\cos ^2}{50^o})$

$ \Rightarrow \frac{1}{2}\,(1 + \,\cos \,{20^o} - (\

Vedclass · Accepted Answer

$\frac {3}{4}$

Vedclass · Answer

$\frac{1}{2}\,(2\,{\cos ^2}{10^o}\, - \,2\cos \,{10^o}\,\cos \,{50^o} + \,2\,{\cos ^2}{50^o})$

$ \Rightarrow \frac{1}{2}\,(1 + \,\cos \,{20^o} - (\cos \,{60^o} + \cos \,{40^o})\, + 1 + \,\,\cos {100^o})$

$ \Rightarrow \frac{1}{2}\,\left( {\frac{3}{2} + \,\cos \,{{20}^o} + 2\sin \,{{70}^o}\sin \,( - {{30}^o})} \right)$

$ \Rightarrow \frac{1}{2}\,\left( {\frac{3}{2} + \,\cos \,{{20}^o} - \sin \,{{70}^o}} \right)$

$ \Rightarrow \frac{3}{4}$

${\cos ^2}\,{10^o}\,\, - \,\cos \,\,{10^o}\,\cos \,\,{50^o}\, + \,{\cos ^2}\,{50^o}$ ની કિમત ..... થાય.

Similar Questions

${\sin ^2}\frac{\pi }{8} + {\sin ^2}\frac{{3\pi }}{8} + {\sin ^2}\frac{{5\pi }}{8} + {\sin ^2}\frac{{7\pi }}{8}$ =

જો $\tan \alpha = \frac{1}{7},\;\tan \beta = \frac{1}{3},$ તો $\cos 2\alpha = $

$\cos \left(\frac{2 \pi}{7}\right)+\cos \left(\frac{4 \pi}{7}\right)+\cos \left(\frac{6 \pi}{7}\right)$ ની કિંમત $\dots\dots$છે.

જો $0 < x , y < \pi$ અને $\cos x +\cos y-\cos ( x + y )=\frac{3}{2}$ હોય, તો $\sin x+\cos y =$ ...... .

જો $\alpha ,\,\beta ,\,\gamma \in \,\left( {0,\,\frac{\pi }{2}} \right)$, તો $\frac{{\sin \,(\alpha + \beta + \gamma )}}{{\sin \alpha + \sin \beta + \sin \gamma }} = . . ..$