જો $x + y = 3 - \cos 4\theta$ અને $x - y = 4 \sin 2\theta$ હોય,તો:

  • A
    $x^4 + y^4 = 9$
  • B
    $\sqrt{x} + \sqrt{y} = 16$
  • C
    $x^3 + y^3 = 2(x^2 + y^2)$
  • D
    $\sqrt{x} + \sqrt{y} = 2$

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જો $\frac{x}{\cos \theta} = \frac{y}{\cos \left( \theta - \frac{2\pi}{3} \right)} = \frac{z}{\cos \left( \theta + \frac{2\pi}{3} \right)},$ હોય,તો $x + y + z = $

જો $7 \sin ^{2} \theta+3 \cos ^{2} \theta=4$ હોય,તો $\tan \theta=$

$2\cos^2 \theta - 2\sin^2 \theta = 1$,તો $\theta = \dots \dots ^\circ$

$\sec ^{2} \theta - \frac{\sin ^{2} \theta - 2 \sin ^{4} \theta}{2 \cos ^{4} \theta - \cos ^{2} \theta}$ ની કિંમત શોધો.

જો $\tan^2 \alpha \tan^2 \beta + \tan^2 \beta \tan^2 \gamma + \tan^2 \gamma \tan^2 \alpha + 2 \tan^2 \alpha \tan^2 \beta \tan^2 \gamma = 1$ હોય,તો $\sin^2 \alpha + \sin^2 \beta + \sin^2 \gamma$ નું મૂલ્ય કેટલું થાય?

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