TRIGONOMETRIC EQUATIONS Solving Equations (Page 4 of 11)

Now repeat the procedure to find the second x-intercept. We will use a left bound of π, a right bound of 3π/2, and a guess of 4.

 2nd CALC key. 2: menu selection. 2nd Pi key. ENTER key. 3 2nd Pi key. Divide key. 2 ENTER key. 4 ENTER key. Calculator screen image.

The zeros of the function are approximately x = 2.09 and x = 4.19. Since all other solutions will occur on a different cycle, and the period is 2π, they will be separated by a multiple of 2π. So the approximate solution set of the equation, in radians, is {2.09+-2pi*n, 4.19+-2pi*n}, where n is any integer.
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