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Home > PC3 > Chapter 6 > Lesson 6.1.3 > Problem 6-50


Many times when solving trigonometric equations, the solutions are not convenient values on the unit circle where the answers are exact. For example, yields and the exact solution between  and is . The other solution between and  is . But what happens when trying to solve ?  

  1. Solve for and give a decimal approximation.

  2. Is this the only solution between and ? Use what you know about the symmetry of the sine function and the unit circle to determine the other solution between and .

    Use the unit circle and symmetry.

    How can you write this?

    Circle, with horizontal diameter, labeled 0 on the right, & pi on the left, & vertical diameter, with right triangle in first quadrant, with point on circle, about 3 fourths of the way between positive x axis and positive y axis, with the radius as the hypotenuse,