Question

If $\cos \,\,	heta = \frac{8}{{17}}$ and $	heta $ lies in the first quadrant, then the value of $\cos \,\,\left( {30^\circ + 	heta } ight) + \cos \,\,\left( {45^\circ - 	heta } ight) + \cos \,\,\left( {120^\circ - 	heta } ight)$, is

Accepted Answer

$\frac{{23}}{{17}}\,\,\left( {\frac{{\sqrt 3 - 1}}{2} + \frac{1}{{\sqrt 2 }}} \right)$

Answer

$\frac{{23}}{{17}}\,\,\left( {\frac{{\sqrt 3 + 1}}{2} + \frac{1}{{\sqrt 2 }}} \right)$

Answer

$\frac{{23}}{{17}}\,\,\left( {\frac{{\sqrt 3 - 1}}{2} - \frac{1}{{\sqrt 2 }}} \right)$

Answer

$\frac{{23}}{{17}}\,\,\left( {\frac{{\sqrt 3 + 1}}{2} - \frac{1}{{\sqrt 2 }}} \right)$

JEE MATHEMATICS MCQ: COMPOUND ANGLES

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