$0^{\circ} < \theta < 90^{\circ}$ માટે,જેમ $\theta$ નું મૂલ્ય $0^{\circ}$ થી $90^{\circ}$ સુધી વધે છે,તેમ $\ldots \ldots \ldots \ldots$ નું મૂલ્ય વધે છે.

  • A
    $\cos \theta$
  • B
    $\sin \theta$
  • C
    $\operatorname{cosec} \theta$
  • D
    $\cot \theta$

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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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$\Delta ABC$ માં,$m \angle C = 90^{\circ}$ અને $\tan A = \frac{1}{\sqrt{3}}$ હોય,તો $\sin A = \ldots$

$\tan (65^\circ - \theta) - \cot (25^\circ + \theta) - \sec (55^\circ - \theta) + \operatorname{cosec}(35^\circ + \theta) = \ldots \ldots \ldots \ldots$ (જ્યાં,$0 < \theta < 25^\circ$)

આપેલ છે કે $\alpha + \beta = 90^{\circ}$,તો સાબિત કરો કે $\sqrt{\cos \alpha \operatorname{cosec} \beta - \cos \alpha \sin \beta} = \sin \alpha$.

$2 \sin ^{2} \theta+4 \sec ^{2} \theta+5 \cot ^{2} \theta+2 \cos ^{2} \theta-4 \tan ^{2} \theta-5 \operatorname{cosec}^{2} \theta = \dots$

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