જો $\tan (\pi \cos \theta ) = \cot (\pi \sin \theta )$ હોય,તો $\cos \left( \theta - \frac{\pi }{4} \right)$ ની કિંમત શોધો.

  • A
    $\frac{1}{2\sqrt{2}}$
  • B
    $\frac{1}{\sqrt{2}}$
  • C
    $\frac{1}{3\sqrt{2}}$
  • D
    $\frac{1}{4\sqrt{2}}$

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જો $a \sin^2 x + b \cos^2 x = c$,$b \sin^2 y + a \cos^2 y = d$ અને $a \tan x = b \tan y$ હોય,તો $\frac{a^2}{b^2}$ ની કિંમત શોધો.

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