જો $\tan A = \cot B$ હોય,તો $A + B = \ldots$

  • A
    $30$
  • B
    $60$
  • C
    $90$
  • D
    $180$

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$\sin^{2} 60^{\circ} - \tan 45^{\circ} + \cos^{2} 30^{\circ} - \cot 90^{\circ} = \ldots$

જો $\sin \theta = \frac{3}{5}$ હોય,તો $\tan \theta = \ldots$

જો $\sin \theta + \cos \theta = \sqrt{3}$ હોય,તો સાબિત કરો કે $\tan \theta + \cot \theta = 1$.

ત્રિકોણમિતીય આંતર-સંબંધો માટે નીચેનામાંથી કઈ જોડી સાચી છે?
$1. \cos \theta$ $a. \frac{\cos \theta}{\sin \theta}$
$2. \tan \theta$ $b. \frac{1}{\csc \theta}$
$3. \cot \theta$ $c. \frac{1}{\sec \theta}$
$4. \sin \theta$ $d. \frac{1}{\cot \theta}$
$e. \sin \theta \cdot \cos \theta$

જો $\sin \theta + \cos \theta = p$ અને $\sec \theta + \operatorname{cosec} \theta = q$ હોય,તો સાબિત કરો કે $q(p^2 - 1) = 2p$.

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