Question

what is the value of cosec 2040 degrees=?​

Answer 1

Answer:

-0. 866

something.........

Answer 2

Given:

• Cosec(2040)

To Find:

• The value of cosec(2040)°

Solution:

cosec(2040)° can be written as cosec(5×360°+240)

The above conversion is done because 2040 lies in the first quadrant so we are making use of the angles from the first quadrant.

Here,  cosec(5×360°+240) is called as an reference angle.

⇒ cosec(2040°) = cosec(5×360°+240) = cosec(240) = cosec(180°+60°)

We are going to introduce a negative sign in the next step because cosecant is negtaive in the third quadrant.

⇒ - cosec(60°) = -(1/sin(60°))  {from standrad trigonometric formula}
⇒ cosec(2040°) = -1/(√3/2)  = -2/√3

∴ The value of cosec(2040°) = -2/√3