Class 11MathematicsTrigonometrical Ratios, Functions and IdentitiesMix Examples-Trigonometrical Ratios, Functions and Identities
Easy$\sinh (x+y) \cosh (x-y)$ is equal to
- A$\frac{1}{2}(\sinh 2x + \sinh 2y)$
- B$\sinh 2x + \sinh 2y$
- C$\frac{1}{2}(\sinh 2x - \sinh 2y)$
- D$\sinh 2x - \sinh 2y$
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Similar Questions
The value of $\cos(18^{\circ}-A) \cdot \cos(18^{\circ}+A) - \cos(72^{\circ}-A) \cdot \cos(72^{\circ}+A)$ is:
Given 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
Difficult
View SolutionIf $\cos x = \tan y$,$\cot y = \tan z$ and $\cot z = \tan x$,then $\sin x$ equals to
DifficultTS EAMCET 2014
View SolutionIf the orthocentre and circumcentre of a triangle $ABC$ are at equal distances from the side $BC$ and lie on the same side of $BC$,then the value of $\tan B \tan C$ is equal to:
If $\sin \alpha - \cos \alpha = m$ and $\sin 2 \alpha = n - m^2$,where $-\sqrt{2} \leq m \leq \sqrt{2}$,then $n$ is equal to
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