જો $\tan x = \frac{2b}{a - c}$ $(a \ne c)$,$y = a \cos^2 x + 2b \sin x \cos x + c \sin^2 x$ અને $z = a \sin^2 x - 2b \sin x \cos x + c \cos^2 x$ હોય,તો:

  • A
    $y = z$
  • B
    $y + z = a + c$
  • C
    $y - z = a + c$
  • D
    $y - z = (a - c)^2 + 4b^2$

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જો $\cos A = m \cos B$ હોય,તો

જો $\sin \theta + \sin^2 \theta = 1$ અને $\cos^{12} \theta + a \cos^{10} \theta + b \cos^8 \theta + c \cos^6 \theta + d = 0$ હોય,તો:

$\left( {1 + \cos \frac{\pi }{8}} \right)\,\left( {1 + \cos \frac{{3\pi }}{8}} \right)\,\left( {1 + \cos \frac{{5\pi }}{8}} \right)\,\left( {1 + \cos \frac{{7\pi }}{8}} \right) = $

જો $\cos x+\cos y+\cos \alpha=0$ અને $\sin x+\sin y+\sin \alpha=0$ હોય,તો $\cot \left(\frac{x+y}{2}\right)$ ની કિંમત શોધો.

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