SOLUTION: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4π] that satisfy the equation. Problem: sin x = -1

Algebra ->  Trigonometry-basics -> SOLUTION: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4π] that satisfy the equation. Problem: sin x = -1      Log On


   

Question 703483: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4π] that satisfy the equation.
Problem: sin x = -1
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Here are the graphs of y=sin%28x%29 and y=-1%29%29%29from+%7B%7B%7B-pi%2F2 to 9%2Api%2F2=about+14.3.
graph%28300%2C100%2C-pi%2F2%2C+9%2Api%2F2%2C-1.5%2C1.5%2Csin%28x%29%2C-1%29
You can see that y=sin%28x%29=-1 twice in that interval.
It happens for x=highlight%283pi%2F2%29 (270%5Eo or 3%2F4 of a counterclockwise turn).
It happens again 2pi (a full turn) later,
at x=2pi%2B3pi%2F2=highlight%287pi%2F2%29.