Class 11MathematicsTrigonometrical Ratios, Functions and IdentitiesMix Examples-Trigonometrical Ratios, Functions and Identities
EasyIf $\sin x + \text{cosec } x = 2$,then $\sin^n x + \text{cosec}^n x$ is equal to
- A$2$
- B$2^n$
- C$2^{n-1}$
- D$2^{n-2}$
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Similar Questions
The integer part of the number $\sum_{k=0}^{44} \frac{1}{\cos k^{\circ} \cos (k+1)^{\circ}}$ is
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MediumIIT 1974
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DifficultJEE MAIN 2026
View SolutionIf $\tan^2 \alpha \tan^2 \beta + \tan^2 \beta \tan^2 \gamma + \tan^2 \gamma \tan^2 \alpha + 2\tan^2 \alpha \tan^2 \beta \tan^2 \gamma = 1$,then the value of $\sin^2 \alpha + \sin^2 \beta + \sin^2 \gamma$ is
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View SolutionIn a triangle $ABC$,if $3 \sin A + 4 \cos B = 6$ and $4 \sin B + 3 \cos A = 1$,then $\sin (A + B)$ is equal to
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