# The periodic function #x = 2 sin ( t/10 )# satisfies #x^2-3x+2=0#. How do you find all the values of t?

##### 1 Answer

Oct 3, 2016

#### Explanation:

factors into:

(x - 2)(x - 1) = 0

x = 2 and x = 1

Substitute for x:

Divide both by 2:

Take the inverse sine of both, remembering that

Account for t to cause the sine function to repeat n rotations:

Multiply by 10: