Answer:
7pi/2
Step-by-step explanation:
Given the expression cosec x = -1
I'm trigonometry csecx = 1/sinx
The equation becomes
1/sin(x) = -1
Sinx = -1
x = arcsin(-1)
x = -90°
x is negative in the third and 4th interval
Third interval;
x = 180+90
x = 270°
x = 3pi/2
Since the angle should be within 3pi < x < 4pi
Add 2pi to the angle
x = 2pi+ 3pi/2
x = 7pi/2
Hence the required angle is 7pi/2
