निम्नलिखित में से कौन सा कथन गलत है?

  • A
    $\sin \theta = -\frac{1}{5}$
  • B
    $\cos \theta = 1$
  • C
    $\sec \theta = \frac{1}{2}$
  • D
    $\tan \theta = 20$

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$\frac{1+\tanh \left(\frac{x}{2}\right)}{1-\tanh \left(\frac{x}{2}\right)} = $

सिद्ध कीजिए कि: $\cot ^{2} \frac{\pi}{6} + \csc \frac{5 \pi}{6} + 3 \tan ^{2} \frac{\pi}{6} = 6$

यदि $\sin A = \frac{-7}{25}$,$\cos B = \frac{8}{17}$,$A$ तीसरे चतुर्थांश में नहीं है और $B$ पहले चतुर्थांश में नहीं है,तो $8 \tan A - 5 \cot B =$

यदि $\cot \theta = -\frac{2}{3}$ और $\theta$ चतुर्थ चतुर्थांश में स्थित नहीं है,तो $\frac{(5 \sin \theta + \cos \theta)^2}{\tan \theta + \cot \theta} = $

$\sin \left(\frac{5 \pi}{3}\right) + \sec \left(\frac{13 \pi}{3}\right) = $

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