જો $\tan \theta = \frac{a}{b}$ હોય,તો $\frac{\sin \theta}{\cos^8 \theta} + \frac{\cos \theta}{\sin^8 \theta} = $

  • A
    $\pm \frac{({a^2} + {b^2})^4}{\sqrt{a^2 + b^2}} \left( \frac{a}{b^8} + \frac{b}{a^8} \right)$
  • B
    $\pm \frac{({a^2} + {b^2})^4}{\sqrt{a^2 + b^2}} \left( \frac{a}{b^8} - \frac{b}{a^8} \right)$
  • C
    $\pm \frac{({a^2} - {b^2})^4}{\sqrt{a^2 + b^2}} \left( \frac{a}{b^8} + \frac{b}{a^8} \right)$
  • D
    $\pm \frac{({a^2} - {b^2})^4}{\sqrt{a^2 - b^2}} \left( \frac{a}{b^8} - \frac{b}{a^8} \right)$

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જો લોલકની લંબાઈ $75 \, cm$ હોય અને તેનો છેડો $21 \, cm$ લંબાઈનો ચાપ બનાવે,તો લોલક દ્વારા કપાતો ખૂણો રેડિયનમાં શોધો.

પદાવલિ $\frac{\tan \left( \frac{3\pi}{2} - \alpha \right) \cos \left( \frac{3\pi}{2} - \alpha \right)}{\cos (2\pi - \alpha )} + \cos \left( \alpha - \frac{\pi}{2} \right) \sin (\pi - \alpha ) + \cos (\pi + \alpha ) \sin \left( \alpha - \frac{\pi}{2} \right)$ નું સાદું રૂપ નીચેનામાંથી કયું છે?

Difficult
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જો $x = \sec \theta + \tan \theta$ હોય,તો $x + \frac{1}{x} = $

$\sin 15^\circ + \cos 105^\circ = $

$\sin^{2} 51^{\circ} + \sin^{2} 39^{\circ}$ નું મૂલ્ય શું છે?

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