$\frac{\sin 3A - \cos \left( \frac{\pi}{2} - A \right)}{\cos A + \cos (\pi + 3A)} = $

  • A
    $\tan A$
  • B
    $\cot A$
  • C
    $\tan 2A$
  • D
    $\cot 2A$

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જો $\operatorname{cosec}^2(\alpha+\beta)-\sin^2(\beta-\alpha)+\sin^2(2\alpha-\beta)=\cos^2(\alpha-\beta)$ જ્યાં $\alpha, \beta \in (0, \frac{\pi}{2})$ હોય,તો $\sin(\alpha-\beta)$ ની કિંમત શોધો.

$16 \sin 12^{\circ} \cos 18^{\circ} \sin 48^{\circ} = $

ધારો કે $a, b, c$ એ ત્રિકોણની બાજુઓ છે. જો $t$ એ પદાવલિ $\frac{a^2+b^2+c^2}{ab+bc+ca}$ દર્શાવે છે,તો $t$ ની તમામ શક્ય કિંમતોનો ગણ કયો છે?

$\cot 18^{\circ} \cdot \cot 36^{\circ}+1=$

જો $f_n(x) = \frac{1}{2n} [\sin^{2n} x + \cos^{2n} x]$ હોય,તો $f_1(x) + f_2(x) - f_3(x) =$

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