જો $630^{\circ} < \theta < 810^{\circ}$ અને $\tan \theta = -\frac{7}{24}$ હોય,તો $\cos \left(\frac{\theta}{4}\right) = $

  • A
    $-\sqrt{\frac{7+5 \sqrt{2}}{10 \sqrt{2}}}$
  • B
    $\sqrt{\frac{7+5 \sqrt{2}}{2 \sqrt{2}}}$
  • C
    $-\sqrt{\frac{5 \sqrt{2}-7}{10 \sqrt{2}}}$
  • D
    $\sqrt{\frac{5 \sqrt{2}-7}{2 \sqrt{2}}}$

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$2\cos x - \cos 3x - \cos 5x = $

જો $\sin^3 x \sin 3x = \sum_{m=0}^n c_m \cos mx$ હોય,જ્યાં $c_0, c_1, c_2, \dots, c_n$ અચળાંકો છે અને $c_n \neq 0$,તો $n$ ની કિંમત શોધો.

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$\cos \left(22 \frac{1}{2}\right)^{\circ}$ ની કિંમત શું છે?

સાબિત કરો કે $\frac{\sin 5x - 2\sin 3x + \sin x}{\cos 5x - \cos x} = \tan x$.

સાબિત કરો કે $\frac{\sin x - \sin 3x}{\sin^2 x - \cos^2 x} = 2 \sin x$.

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