જો $\sin ^{2} 35^{\circ} + \cos ^{2} \theta = 1$ હોય,તો $\theta = \ldots \ldots \ldots \ldots$ ($^{\circ}$ માં)

  • A
    $35$
  • B
    $55$
  • C
    $70$
  • D
    $20$

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

$\tan 5^{\circ} \cdot \tan 25^{\circ} \cdot \tan 45^{\circ} \cdot \tan 65^{\circ} \cdot \tan 85^{\circ}$ ની કિંમત $\ldots \ldots \ldots \ldots$ છે.

નીચેનામાંથી કયો સમૂહ ભાગ $I$ ના ડેટાને ભાગ $II$ ના ડેટા સાથે સાચી રીતે જોડે છે?
ભાગ $I$ ભાગ $II$
$1.$ $\cos(90^\circ - \theta)$ $a.$ $\sec \theta$
$2.$ $\cot(90^\circ - \theta)$ $b.$ $\sin \theta$
$3.$ $\operatorname{cosec}(90^\circ - \theta)$ $c.$ $1$
$d.$ $\tan \theta$

$\sin 60^{\circ} \sin 45^{\circ} + \cos 60^{\circ} \cos 45^{\circ} = \ldots \ldots \ldots \ldots$

જો $\sin 70^{\circ} = \cos \theta$ હોય,તો $\theta = \ldots \ldots \ldots \ldots$ ($^{\circ}$ માં)

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