જો $x = \sin 130^\circ \cos 80^\circ$,$y = \sin 80^\circ \cos 130^\circ$,અને $z = 1 + xy$ હોય,તો નીચેનામાંથી કયું સાચું છે?

  • A
    $x > 0, y > 0, z > 0$
  • B
    $x > 0, y < 0, 0 < z < 1$
  • C
    $x > 0, y < 0, z > 1$
  • D
    $x < 0, y < 0, 0 < z < 1$

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જો $\tan \theta = \frac{\sin \alpha - \cos \alpha}{\sin \alpha + \cos \alpha}$ હોય,તો $\sin \alpha + \cos \alpha$ અને $\sin \alpha - \cos \alpha$ ની કિંમત શું થાય?

$6$ રેડિયનને અંશ માપમાં ફેરવો.

સાબિત કરો કે $\frac{\cos (\pi+x) \cos (-x)}{\sin (\pi-x) \cos (\frac{\pi}{2}+x)} = \cot^{2} x$.

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