Question

Value of cosec $(-{1410}^{\circ })$ is

• A. $\frac{1}{2}$
• B. $-\frac{1}{2}$
• C. $\frac{\sqrt{3}}{2}$
• D. 2

Answer 1

The correct option is D 2

$cosec(-{1410}^o)=-cosec{1410}^o$

$⟹-cosec(4\times {360}^o-{30}^o)$

$⟹cosec{30}^o=2$

Hence, the required value is 2.