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.

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 lis

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