If $\sin \theta + {\rm{cosec}}\theta = 2,$ the value of ${\sin ^{10}}\theta + {\rm{cose}}{{\rm{c}}^{10}}\theta $ is

  • A

    $10$

  • B

    ${2^{10}}$

  • C

    ${2^9}$

  • D

    $2$

Similar Questions

If $\tan \theta + \sin \theta = m$ and $\tan \theta - \sin \theta = n,$ then

  • [IIT 1970]

Find the value of $\sin 15^{\circ}$

The value of ${\sin ^2}{5^o} + {\sin ^2}{10^o} + {\sin ^2}{15^o} + ... + $ ${\sin ^2}{85^o} + {\sin ^2}{90^o}$ is equal to

If $\sin \theta = \frac{{24}}{{25}}$ and $\theta $ lies in the second quadrant, then $\sec \theta + \tan \theta = $

Prove that: $(\cos x-\cos y)^{2}+(\sin x-\sin y)^{2}=4 \sin ^{2} \frac{x-y}{2}$