The value of cos 2-8-x-sin 23 -8-x is

The correct option is A 0We know that, cos^2 A sin^2 B = cos(A+B)cos (A B) cos^2 (π 8 +x) sin^2 (3π 8 x) nbsp;= cos(π 2 ) cos(2x π4) = 0 ...

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Trigonometric Ratios of Compound Angles

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The value of ${cos}^{2} (\frac{π}{8} + x) - {sin}^{2} (\frac{3 π}{8} - x)$ is

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{sin}^{2} \frac{π}{8} + {sin}^{2} \frac{3 π}{8} + {sin}^{2} \frac{5 π}{8} + {sin}^{2} \frac{7 π}{8}

{sin}^{2} \frac{π}{8} + {sin}^{2} \frac{3 π}{8} + {sin}^{2} \frac{5 π}{8} + {sin}^{2} \frac{7 π}{8}

Prove that:

$s i n^{2} \frac{π}{8} + s i n^{2} \frac{3 π}{8} + s i n^{2} \frac{5 π}{8} + s i n^{2} \frac{7 π}{8} = 2$

The maximum value of $c o s^{2} (\frac{π}{3} - x) - c o s^{2} (\frac{π}{3} + x)$ is

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