Question

sin 2x=.85
(Using a graphing calculator, find solutions
0 ≤ x ≤2π
and express solutions accurate to 3 sig. figures)

Answer 1

I already have it in radian mode but the answer I'm getting is different from the one I'm seeing in the back of my book where all the answers are.

Answer 2

x=29.105 degree

Answer 3

there's suppose to be a couple of solutions...

Answer 4

second is 180-29.105

Answer 5

oh and the solution should be between 0 and 2π
29 is a little too big...

Answer 6

In degrees
\[

0 \le x \le 360
\]

Answer 7

radians

Answer 8

here's the answers i see in my book;
x=.508, 1.06, 3.65, 4.20

Answer 9

You should get 4 solutions

Answer 10

how am i suppose to get 4 solutions? am i suppose to graph it and see when it intersects the 0?

Answer 11

Here is the graph

Answer 12

\[
\sin(u) = \sin (\alpha) \implies u = \alpha + 2 k \pi \text { or }
u =\pi- \alpha + 2 k \pi
\]

Answer 13

\[\sin^{-1} 0.85=1.016 ,2x=1.016,x=0.508\]
x=0.508 radians

Answer 14

oh hey thanks, the graph helped me.
i graphed it on my calculator and found where it intersects.
y1= sin2x
y2= .85
is that how you did it?
anyways thanks for the help :)