Question

Solve on the interval : [0,2pi]

4 csc x +6=-2


A. 7pi/6 , 11pi/6

B. pi/6 , 5pi/6

C. pi/3 , 5pi/3

D. 2pi/3 , 4pi/3

Answer 1

$4\csc{x}+6=-2 \\4\csc{x}=-8 \\ \csc{x}=-2 \\ \\ \frac{1}{\sin{x}}=-2 \\ \\ \sin{x}=- \frac{1}{2} \\ \\x= \frac{7\pi}{6}, \frac{11\pi}{6}$

Answer 2

Answer:

It is A, the other person is correct. Sorry I am 4 years late answering!

Step-by-step explanation: