Class 11MathematicsTrigonometric FunctionsMix Examples-Trigonometrical Ratios, Functions and Identities
Easy$0 < \theta < \frac{\pi}{2}$ के लिए निम्नलिखित में से कौन सा/से कथन सही है/हैं?
- A$(\cos \theta)^{1/2} \leq \cos \frac{\theta}{2}$
- B$(\cos \theta)^{3/4} \geq \cos \frac{3\theta}{4}$
- C$\cos \frac{5\theta}{6} \geq (\cos \theta)^{5/6}$
- D$\cos \frac{7\theta}{8} \leq (\cos \theta)^{7/8}$
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Similar Questions
यदि $\frac{\sin ^4 x}{2}+\frac{\cos ^4 x}{3}=\frac{1}{5}$ है,तो
$(A) \tan ^2 x=\frac{2}{3}$ $(B) \frac{\sin ^8 x}{8}+\frac{\cos ^8 x}{27}=\frac{1}{125}$
$(C) \tan ^2 x=\frac{1}{3}$ $(D) \frac{\sin ^8 x}{8}+\frac{\cos ^8 x}{27}=\frac{2}{125}$
$(A) \tan ^2 x=\frac{2}{3}$ $(B) \frac{\sin ^8 x}{8}+\frac{\cos ^8 x}{27}=\frac{1}{125}$
$(C) \tan ^2 x=\frac{1}{3}$ $(D) \frac{\sin ^8 x}{8}+\frac{\cos ^8 x}{27}=\frac{2}{125}$
DifficultIIT 2009
View Solution$\frac{\sqrt{2} \cos 45^{\circ}+\cos 56^{\circ}+\cos 58^{\circ}-\cos 66^{\circ}}{\sqrt{2} \cos 28^{\circ} \cos 29^{\circ} \sin 33^{\circ}} = ?$
$\tan 6^{\circ} \tan 42^{\circ} \tan 66^{\circ} \tan 78^{\circ} = $
यदि $(\sec \alpha + \tan \alpha )(\sec \beta + \tan \beta )(\sec \gamma + \tan \gamma ) = \tan \alpha \tan \beta \tan \gamma $ है,तो $(\sec \alpha - \tan \alpha )(\sec \beta - \tan \beta )(\sec \gamma - \tan \gamma ) = $
Easy
View Solutionकिसी भी $\theta \in \left( \frac{\pi}{4}, \frac{\pi}{2} \right)$ के लिए,व्यंजक $3(\sin \theta - \cos \theta)^4 + 6(\sin \theta + \cos \theta)^2 + 4\sin^6 \theta$ का मान है
DifficultJEE MAIN 2019
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