Class 11MathematicsTrigonometrical Ratios, Functions and IdentitiesMix Examples-Trigonometrical Ratios, Functions and Identities
Easyજો $\cos x + \cos^2 x = 1$ હોય,તો $\sin^2 x + \sin^4 x$ ની કિંમત કેટલી થાય?
- A$-1$
- B$1$
- C$0$
- D$2$
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Similar Questions
જો $\cos \alpha + \cos \beta = a$ 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-$B$ |
| $(I)$ $\tan \left(\frac{\alpha + \beta}{2}\right) =$ | $(a)$ $\frac{b}{a}$ |
| $(II)$ $\cos (\alpha + \beta) =$ | $(b)$ $\frac{2ab}{a^2 + b^2}$ |
| $(III)$ $\sin (\alpha + \beta) =$ | $(c)$ $\frac{2ab}{a^2 - b^2}$ |
| $(IV)$ $\tan (\alpha + \beta) =$ | $(d)$ $\frac{a^2 - b^2}{a^2 + b^2}$ |
જો $2y \cos \theta = x \sin \theta$ અને $2x \sec \theta - y \csc \theta = 3$ હોય,તો $x^2 + 4y^2 = $
Medium
View Solution$\operatorname{sech}^2\left(\tanh ^{-1} \frac{1}{2}\right)+\operatorname{cosech}^2\left(\operatorname{coth}^{-1} 3\right)=$
$\tan ^2 \frac{\pi}{16}+\tan ^2 \frac{2 \pi}{16}+\tan ^2 \frac{3 \pi}{16}+\tan ^2 \frac{4 \pi}{16}+\tan ^2 \frac{5 \pi}{16}+\tan ^2 \frac{6 \pi}{16}+\tan ^2 \frac{7 \pi}{16} = ?$
DifficultAP EAMCET 2024
View Solutionજો $\sin x + \sin^2 x = 1$ હોય,તો $\cos^{12} x + 3\cos^{10} x + 3\cos^8 x + \cos^6 x - 2$ ની કિંમત કેટલી થાય?
Difficult
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