Question

value of cosec 390 degrees ​

Answer 1

Explanation:

cosec (360+30) =cosec 30 ,the value of cosec 30 is 2

Answer 2

Answer:

The value of cosec 390° is 2.

Explanation:

390° lies in the first quadrant after completing one complete complete circle.

cosec α=$\frac{1}{sin\alpha }$

We know that

cosec (360°+θ)=cosec θ

390°=360°+30°

cosec (390°)=cosec (360°+30°)

cosec(360°+30°)=cosec (30°)

cosec 30°=$\frac{1}{sin30}$

sin30°= $\frac{1}{2}$

cosec 30°=2

Thus, the value of cosec 390°=2