Question

sin( -90-theta ) +tan (90+theta) + cosec (90+theta) /cos (-180-theta) +cot (180+theta) + sec (180+theta)
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Answer 1

Answer:

$\xcancel{\tt \red{\begin{array}{|c|c|c|c|c|} \hline X & \sin & \cos & \tan & \cot \\ \hline -a & -\sin \alpha & +\cos \alpha & -\tan \alpha & -\cot \alpha \\ 90^{\circ}-\alpha & +\cos \alpha & +\sin \alpha & +\cot \alpha & +\tan \alpha \\ 90^{\circ}+\alpha & +\cos \alpha & -\sin \alpha & -\cot \alpha & -\tan \alpha \\ 180^{\circ}-\alpha & +\sin \alpha & -\cos \alpha & -\tan \alpha & -\cot \alpha \\ 180^{\circ}+\alpha & -\sin \alpha & -\cos \alpha & +\tan \alpha & +\cot \alpha \\ 270^{\circ}-\alpha & -\cos \alpha & -\sin \alpha & +\cot \alpha & +\tan \alpha \\ 270^{\circ}+\alpha & -\cos \alpha & +\sin \alpha & -\cot \alpha & -\tan \alpha \\ 360^{\circ} k-\alpha & -\sin \alpha & +\cos \alpha & -\tan \alpha & -\cot \alpha \\ 360^{\circ} k+\alpha & +\sin \alpha & +\cos \alpha & +\tan \alpha & +\cot \alpha \\ \hline \end{array}}}$