જો $\tan \theta \cdot \cos 60^{\circ} = \frac{\sqrt{3}}{2}$ હોય,તો $\sin (\theta - 15^{\circ})$ ની કિંમત શોધો.

  • A
    $\frac{\sqrt{3}}{2}$
  • B
    $\frac{1}{2}$
  • C
    $1$
  • D
    $\frac{1}{\sqrt{2}}$

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જો $\tan A = \frac{1}{2}$ અને $\tan B = \frac{1}{3}$ હોય,તો $A + B$ ની કિંમત શોધો.

બધા $\theta$ માટે,$\sqrt{\frac{1+\sin \theta}{1-\sin \theta}}$ ની કિંમત શું થાય?

જો $\left| a\sin^2 \theta + b\sin \theta \cos \theta + c\cos^2 \theta - \frac{1}{2}(a + c) \right| \le \frac{1}{2}k$ હોય,તો $k^2$ ની કિંમત શોધો.

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જો $\cos \alpha = \frac{2 \cos \beta - 1}{2 - \cos \beta}$ હોય,તો $\tan \frac{\alpha}{2} \cot \frac{\beta}{2}$ ની કિંમત શોધો,જ્યાં $(0 < \alpha < \pi$ અને $0 < \beta < \pi)$.

જો $\tan A = \frac{1 - \cos B}{\sin B}$ હોય,તો $\tan 2A =$

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