Solve the following equations for x if 0 x 2 Use a calculato
Solve the following equations for x if
0 x 2.
Use a calculator to approximate all answers to the nearest hundredth. (Enter your answers as a comma-separated list.)
1 + 10 sin(x 1) = 5
Make sure answers are in raidians
Solution
We have given 1 + 10 sin(x 1) = 5,0 x 2
10sin(x-1)=5+1=6
sin(x-1)=6/10=3/5
(x-1)=arcsin(3/5)
x=1+arcsin(3/5)
arcsin(3/5)=0.643501109 radians
x=1+0.643501109
=1.643501109
x=1.64 radians since x is nearest hundredth.
