Question

Quadratic trigonometric equations help?

Solve x for 2sinsecx - 2sqrt(3)sinx = 0

Answer 1

0<= x <= 2pi

Answer 2

The solutions i got were 0.955, and 5.328

The back of my book says the same thing except it also says 0 and 2pi

Answer 3

Here is how i did it:

2sinsecx = 2sqrt(3)sinx

divide both sides by 2sinx

secx = sqrt(3)

cosx = 1/sqrt(3)

Answer 4

You did good, but you have to account for the part where the LHS is simply 0. So, sinx = 0 is also a solution.

Answer 5

i see what i did wrong, but why do i have to account for sinx = 0? I thought i already cancelled it out when i divided?

Answer 6

You should not have cancelled out. Just factored.