SOLUTION: Find all real numbers in the interval [0,2pi) that satisfy the equation. Use radian measure. 3sin 2x = sin x

Algebra ->  Trigonometry-basics -> SOLUTION: Find all real numbers in the interval [0,2pi) that satisfy the equation. Use radian measure. 3sin 2x = sin x      Log On


   



Question 677946: Find all real numbers in the interval [0,2pi) that satisfy the equation. Use radian measure. 3sin 2x = sin x
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find all real numbers in the interval [0,2pi) that satisfy the equation. Use radian measure.
3sin 2x = sin x
3(2sinxcosx)=sinx
6cosx=1
cosx=1/6
using calculator set to radians:
x≈1.40, 4.88 (in quadrants I and IV where cos>0)