### Home > PC > Chapter 6 > Lesson 6.2.2 > Problem 6-86

6-86.

Now consider the equation 10sin

+ 24 = 20. Homework Help ✎ Solve the equation for the smallest positive value of

*x*(in radians). If you are having a problem getting started, let*u*=*x*− 5). Be sure to choose the correct value of*x*.Add

*y*= 20 to your graph. Use the symmetry of your graph to find the next positive value of where 10sin+ 24 = 20. Check your results by graphing

*y*= 10sin+ 24 and *y*= 20 on your graphing calculator.

Substituting '*u*' into the equation.

10sin(*u*) + 24 = 20

10sin(*u*) = −4

Using a calculator, *u* = −0.4115.

Substitute back to solve for *x*.