Class 11MathematicsTrigonometrical Ratios, Functions and IdentitiesMix 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
If $x \cos \theta + y \sin \theta = 5$ and $x \sin \theta - y \cos \theta = 3$,then the value of $x^{2} + y^{2}$ is:
$\tan 81^{\circ}-\tan 63^{\circ}-\tan 27^{\circ}+\tan 9^{\circ}$ is equal to
DifficultAP EAMCET 2014
View SolutionIf $\sin \theta + \cos \theta = m$ and $\sec \theta + \text{cosec} \theta = n$,then $n(m + 1)(m - 1) = $
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View SolutionGiven that $\pi < \alpha < \frac{3\pi}{2}$,then the expression $\sqrt{4\sin^4 \alpha + \sin^2 2\alpha} + 4\cos^2 \left(\frac{\pi}{4} - \frac{\alpha}{2}\right)$ is equal to
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View SolutionIf $\tan \beta = \cos \theta \tan \alpha ,$ then ${\tan ^2}\frac{\theta }{2} = $
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