જો $\tan \theta = \frac{\cos 15^{\circ} + \sin 15^{\circ}}{\cos 15^{\circ} - \sin 15^{\circ}}$ હોય,તો $\theta =$

  • A
    $\frac{\pi}{4}$
  • B
    $\frac{\pi}{3}$
  • C
    $\frac{\pi}{6}$
  • D
    $\frac{\pi}{2}$

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જો $\frac{\cos x}{a} = \frac{\cos (x + \theta)}{b} = \frac{\cos (x + 2\theta)}{c} = \frac{\cos (x + 3\theta)}{d}$ હોય,તો $\left( \frac{a + c}{b + d} \right)$ ની કિંમત શું થાય :-

$\frac{{\cot^2 15^\circ - 1}}{{\cot^2 15^\circ + 1}} = $

જો $(\sec A + \tan A)(\sec B + \tan B)(\sec C + \tan C) = (\sec A - \tan A)(\sec B - \tan B)(\sec C - \tan C)$ હોય,તો દરેક બાજુનું મૂલ્ય શું થાય?

જો $\cos^6 \alpha + \sin^6 \alpha + K \sin^2 2\alpha = 1$ હોય,તો $K =$

$(\sec 2A + 1){\sec ^2}A = $

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