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

6-86.
  1. Now consider the equation 10sin + 24 = 20. Homework Help ✎

    1. 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.

    2. Add y = 20 to your graph. Use the symmetry of your graph to find the next positive value of where 10sin + 24 = 20.

    3. 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.