SOLUTION: solve 4 sin(pi/4 x)=2 for the four smallest positive solutions x= give answers accurate to at least two decimal places as a list separated by commas I cant seem to figure th

Algebra ->  Trigonometry-basics -> SOLUTION: solve 4 sin(pi/4 x)=2 for the four smallest positive solutions x= give answers accurate to at least two decimal places as a list separated by commas I cant seem to figure th      Log On


   



Question 1183231: solve 4 sin(pi/4 x)=2 for the four smallest positive solutions
x=
give answers accurate to at least two decimal places as a list separated by commas
I cant seem to figure this question out.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

+4sin%28%28pi%2F4+%29x%29=2
+sin%28%28pi%2F4+%29x%29=2%2F4

+sin%28%28pi%2F4+%29x%29=1%2F2

+%28pi%2F4+%29x=sin%5E-1%281%2F2%29
+%28pi%2F4+%29x=pi%2F6
+x=%28pi%2F6%29%2F%28pi%2F4+%29
x=+2%2F3
in general:
x=+2%2F3%2B8n
x=+10%2F3%2B8n
x=+2%2F3%2B8%2A1=26%2F3
x=+2%2F3%2B8%2A2=50%2F3
x=10%2F3%2B8=34%2F3
four solutions are: x=+2%2F3, x=10%2F3, x=26%2F3, x=34%2F3