Question

. Find the principal solution of the equation cosec x =-2​

Answer 1

Answer:

here is your answer...

Given

cosec x = -2

1 / sin x = -2

sin x = -1 / 2

We know that

sin 30° = 1 / 2

since sin x is negative,

x will be in third & fourth Quadrant.

value in third Quadrant = 180° + 30° = 210°

value of fourth Quadrant = 360° - 30° = 330°

so, principal solutions are

x = 210°

x = 210 × π / 180

x = 7π / 6

x = 330°

x = 330 × π / 180

x = 11π / 6