Question

Find value of cosec(-1440°)

Answer 1

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Answer is 2

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Answer 2

$\csc(-1440^\circ)=-2$

Step-by-step explanation:

Given : Expression $\csc(-1440^\circ)$.

To find : The value of the expression ?

Solution :

We know that the value of cosec x repeats after an interval of $2\pi$ or 360°.

We can write the expression as,

$\csc(-1440^\circ)=-\csc(1440^\circ)$

$\csc(-1440^\circ)=-\csc(4\times 360-30)$

As $\csc(4\times 360-\theta)=\csc \theta$

So, $\csc(-1440^\circ)=-\csc(30)$

The value of  $\csc(30^\circ)=2$

$\csc(-1440^\circ)=-2$

Therefore,  $\csc(-1440^\circ)=-2$

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