Question

Find the value of cosec (–1830°).​

Answer 1

Answer:

The value of Cosec1830 is 2 cosec1830 can be written as cosec(1800+30)=cosec30 = 2

Answer 2

SOLUTION

TO DETERMINE

The value of cosec ( - 1830°)

EVALUATION

Here we have to find the value of

cosec ( - 1830°)

Now cosec ( - 1830°)

= - cosec 1830°

= - cosec ( 20 × 90° + 30° )

So the angle 1830° lies in first quadrant

Thus we get

cosec ( - 1830°)

= - cosec 1830°

= - cosec ( 20 × 90° + 30° )

= - cosec 30°

= - 2

FINAL ANSWER

cosec (–1830°) = - 2

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