Question

How to find the Value of cosec 210°

Answer 1

cosec(210°) = cosec(180°+30°)

cosec(180° + theta) = (-cosec theta) , as it lies in the third quadrant.

here theta = 30°.

therefore, cosec(210°)=(-cosec 30°) = (-2)

Answer 2

Answer:

Value of cosec 210° is -2

Step-by-step explanation:

Given: cosec 210°

To find: value of cosec 210°

Here we use supplementary angle of trigonometric ratio .i.e.,

cosec ( 180 + x ) = - cosec x

negative because 180 + x lies in 3rd quadrant where cosec & sin function have negative value.

⇒ cosec 210° = coesc ( 180° + 30 °)

                      = - cosec ( 30° )

                      = - 2    Value of cosec 210° is -2

Therefore, Value of cosec 210° is -2