SOLUTION: Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.) Trig confuses the crap out of me, anyone mind lend

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.) Trig confuses the crap out of me, anyone mind lend      Log On


   

Question 1038718: Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.) Trig confuses the crap out of me, anyone mind lending some brain cells to understand this stuff? Thanks
4 sin2 4x = 2
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4 sin2 4x = 2
-----------
If you mean
4sin^2(4x) = 2
sin^2(4x) = 1/2
sin(4x) = ±sqrt(1/2)
4x = ±pi/4 + n*2pi, n = any integer
x = ±pi/16 + n*pi/2, n = any integer
(x in radians)

Answer by ikleyn(52943) About Me  (Show Source):
You can put this solution on YOUR website!
.
4%2Asin2%284x%29 = 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

I came to fix an error in the previous solution: 

4%2Asin%5E2%284x%29 = 2

sin%5E2%284x%29 = 1%2F2

sin(4x) = ±sqrt%281%2F2%29 = +/-sqrt%282%29%2F2

4x = ±pi/4 + n*pi, n = any integer

x = ±pi/16 + n*pi/4, n = any integer    (x in radians)