SOLUTION: determine the general solution for sin 2x = 1

Algebra ->  Trigonometry-basics -> SOLUTION: determine the general solution for sin 2x = 1      Log On


   



Question 1076387: determine the general solution for sin 2x = 1
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
sin%282x%29+%22%22=%22%22+1  
2x%22%22=%22%22pi%2F2%2B2pi%2An
x%22%22=%22%22pi%2F4%2Bpi%2An
x%22%22=%22%22%281%2F4%2Bn%29pi
x%22%22=%22%22%281%2F4%2Bn%2F4%29pi
x%22%22=%22%22%28%28n%2B1%29%2F4%29pi, where n is any integer

Edwin


Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
Below is the correction to the solution by Edwin.

sin%282x%29+%22%22=%22%22+1                                Correct.

2x%22%22=%22%22pi%2F2%2B2pi%2An                             Correct.

x%22%22=%22%22pi%2F4%2Bpi%2An                               Correct.

x%22%22=%22%22%281%2F4%2Bn%29pi                              Correct.

x%22%22=%22%22%281%2F4%2Bn%2F4%29pi                              Incorrect.

x%22%22=%22%22%28%28n%2B1%29%2F4%29pi, where n is any integer     Incorrect.