Math, asked by athreyjith, 6 months ago

find the principle value of

cos - {}^{1}  \:  \:  \:  \:  \frac{\sqrt{3} }{2}
1mark question plz answer it​

Answers

Answered by ushajosyula96
23

\huge{\underline{\red{Given:-}}}

 { \cos }^{ - 1}  \:   - \sqrt{ \frac {3}{2} }  \\ \pi -  { \cos }^{ - 1} (  - \sqrt{ \frac{3}{2} } ) \\  \\ let \:  { \cos}^{ - 1} ( -  \sqrt{ \frac{3}{2} } ) = tita \\  \\  = ( \sqrt{ \frac{3}{2} } ) =  \cos \: tita \\  \\  \cos \frac{\pi}{6}  =  \cos \: tita \\  \\ tita  =  \frac{\pi}{6}  \\  \\ now \\  \\ \pi -  { \cos }^{ - 1} ( \sqrt{ \frac{3}{2} }  \\ \pi -  \frac{\pi}{6}  \\  =  \frac{5\pi}{6}

I hope this helps u pls mark me as brainlist and pls follow me dear ☺️

Similar questions