અમુક $\theta$ (જ્યાં,$0 < \theta < 90^{\circ}$) માટે નીચેનામાંથી શું સાચું છે?

  • A
    $\cos \theta > 1$
  • B
    $\operatorname{cosec} \theta < 1$
  • C
    $\tan \theta < 0$
  • D
    $\sec \theta > 1$

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સાબિત કરો કે $(\sin^{4} \theta - \cos^{4} \theta + 1) \operatorname{cosec}^{2} \theta = 2$.

જો $\operatorname{cosec} \theta + \cot \theta = p$ હોય,તો સાબિત કરો કે $\cos \theta = \frac{p^{2} - 1}{p^{2} + 1}$.

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સાબિત કરો કે $\tan ^{4} \theta+\tan ^{2} \theta=\sec ^{4} \theta-\sec ^{2} \theta$

$2 \sin ^{2} 30^{\circ} \cot 30^{\circ}-3 \cos ^{2} 60^{\circ} \sec ^{2} 30^{\circ} = \dots$

જો $4 \tan \theta = 3$ હોય,તો $\left(\frac{4 \sin \theta - \cos \theta}{4 \sin \theta + \cos \theta}\right)$ ની કિંમત શોધો.

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