$\theta$ का सबसे छोटा धनात्मक मान (डिग्री में) जिसके लिए $\tan(\theta+100^{\circ})=\tan(\theta+50^{\circ}) \tan(\theta) \tan(\theta-50^{\circ})$ मान्य है,वह है ($^{\circ}$ में)

  • A
    $60$
  • B
    $45$
  • C
    $30$
  • D
    $15$

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$\operatorname{sech}^{-1}(\sin \theta)$ किसके बराबर है?

$\frac{\tan A}{1-\cot A} + \frac{\cot A}{1-\tan A} = ?$

$\operatorname{cosec} 48^{\circ}+\operatorname{cosec} 96^{\circ}+\operatorname{cosec} 192^{\circ}+\operatorname{cosec} 384^{\circ}=$

यदि $(\alpha+\beta)$,$\frac{\pi}{2}$ का गुणज नहीं है और $3 \sin (\alpha-\beta)=5 \cos (\alpha+\beta)$ है,तो $\tan \left(\frac{\pi}{4}+\alpha\right)+4 \tan \left(\frac{\pi}{4}+\beta\right)=$

यदि $\cos \alpha + \cos \beta = a$,$\sin \alpha + \sin \beta = b$ और $\alpha - \beta = 2 \theta$ है,तो $\frac{\cos 3 \theta}{\cos \theta} = $

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