જો $\cos(\theta - \alpha) = a$ અને $\sin(\theta - \beta) = b$ હોય, તો $\cos^2(\alpha - \beta) + 2ab \sin(\alpha - \beta) + \cos^2(\theta - \alpha)$ ની કિંમત શું થાય?

  • A
    $a^2 + b^2$
  • B
    $a^2 - b^2$
  • C
    $b^2 - a^2$
  • D
    $a^2 + 2b^2$

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$\frac{1}{\sin 1^{\circ} \sin 2^{\circ}}+\frac{1}{\sin 2^{\circ} \sin 3^{\circ}}+\frac{1}{\sin 3^{\circ} \sin 4^{\circ}}+\ldots+\frac{1}{\sin 89^{\circ} \sin 90^{\circ}} = ?$

જો $\operatorname{sech}^{-1} x = \log 2$ અને $\operatorname{cosech}^{-1} y = -\log 3$ હોય,તો $(x + y) = $

જો $\text{cosec } A + \cot A = \frac{11}{2}$ હોય,તો $\tan A = $

જો $\frac{\cos x}{\cos (x-2 y)}=\lambda$ હોય,તો $\tan (x-y) \tan y$ ની કિંમત શું થાય?

$\cos^3 110^{\circ} + \cos^3 10^{\circ} + \cos^3 130^{\circ} = $

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