Class 11MathematicsTrigonometric FunctionsMix Examples-Trigonometrical Ratios, Functions and Identities
EasyIf $\sin A + \cos A = \sqrt{2}$,then $\cos^2 A = $
- A$\frac{1}{4}$
- B$\frac{1}{2}$
- C$\frac{1}{\sqrt{2}}$
- D$\frac{3}{2}$
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Similar Questions
$\cos ^4 \frac{\pi}{12} + \cos ^4 \frac{5 \pi}{12} + \cos ^4 \frac{7 \pi}{12} + \cos ^4 \frac{11 \pi}{12} = $
The value of $\left(1+\cos \frac{\pi}{8}\right)\left(1+\cos \frac{3 \pi}{8}\right)\left(1+\cos \frac{5 \pi}{8}\right)\left(1+\cos \frac{7 \pi}{8}\right)$ is
${\sin ^4}\frac{\pi }{8} + {\sin ^4}\frac{{3\pi }}{8} + {\sin ^4}\frac{{5\pi }}{8} + {\sin ^4}\frac{{7\pi }}{8} = $
Difficult
View SolutionIf $5(\tan^2 x - \cos^2 x) = 2\cos 2x + 9$,then $\cos 4x$ is equal to
DifficultJEE MAIN 2017
View SolutionProve that $\cot x \cot 2x - \cot 2x \cot 3x - \cot 3x \cot x = 1$.
Medium
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