Class 11MathematicsTrigonometric FunctionsMix Examples-Trigonometrical Ratios, Functions and Identities
Difficultધારો કે $n$ એક ધન પૂર્ણાંક છે જેથી $\sin \frac{\pi }{2^n} + \cos \frac{\pi }{2^n} = \frac{\sqrt{n}}{2}$ થાય. તો
- A$6 \le n \le 8$
- B$4 < n \le 8$
- C$4 \le n < 8$
- D$4 < n < 8$
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View Solutionજો $\cos \alpha + \cos \beta = a$ અને $\sin \alpha + \sin \beta = b$ હોય,તો List-$A$ માં આપેલી વસ્તુઓને List-$B$ માં તેમના મૂલ્યો સાથે જોડો.
List-$A$ List-$B$ $(I)$ $\tan \left(\frac{\alpha + \beta}{2}\right) =$ $(a)$ $\frac{b}{a}$ $(II)$ $\cos (\alpha + \beta) =$ $(b)$ $\frac{2ab}{a^2 + b^2}$ $(III)$ $\sin (\alpha + \beta) =$ $(c)$ $\frac{2ab}{a^2 - b^2}$ $(IV)$ $\tan (\alpha + \beta) =$ $(d)$ $\frac{a^2 - b^2}{a^2 + b^2}$
| List-$A$ | List-$B$ |
| $(I)$ $\tan \left(\frac{\alpha + \beta}{2}\right) =$ | $(a)$ $\frac{b}{a}$ |
| $(II)$ $\cos (\alpha + \beta) =$ | $(b)$ $\frac{2ab}{a^2 + b^2}$ |
| $(III)$ $\sin (\alpha + \beta) =$ | $(c)$ $\frac{2ab}{a^2 - b^2}$ |
| $(IV)$ $\tan (\alpha + \beta) =$ | $(d)$ $\frac{a^2 - b^2}{a^2 + b^2}$ |
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