Question

find the solution set of the equation 3(sec x-1)= 5- sec x in the interval of 0< x<2 pi.

A) pi/3 and 5pi/3
B) pi/6 and 11pi/6
C) pi/6 and 5pi/6
D) pi/3 and 2pi/3

Answer 1

please helo

Answer 2

secx=2. cosx=1/2, x=pi/3 and 5pi/3

Answer 3

@alexwee123 you add the secx in your step 3. So
4secx=8
secx=2

Answer 4

oh lol sorry about that :/

Answer 5

3(sec x-1)= 5- sec x
3secx -3=5-secx
4secx=8
secx=2
cosx=1/2
cos^-1(cosx)=cos^-1(1/2)
x=pi/3+pi(n) where n=integers
because range is within 0< x<2 pi. the answers are x=pi/3, 5pi/3

Answer 6

thank you for your help