Question

The value of $cosec(-1410{)}^{\circ }$ is equal to

• A. $1$
• B. $\frac{1}{2}$
• C. 2
• D. None of these

Answer 1

Answer: (C)

As, we know that; $cosec(-\theta )=-cosec\theta$
$\therefore cosec\left(-1410^{\circ }\right)=-cosec(360\times 4-30{)}^{\circ }=-\left(-cosec30^{\circ }\right)$
$=cosec30^{\circ }=2\cdot [\because cosec(2n\pi -\theta )=-cosec\theta ]$