2 Determine the amplitude and period of the following functi

2. Determine the amplitude and period of the following function. Then graph the function. The amplitude is The period is (Type an exact answer using , as needed. Use integers or fractions for any numbers in the expression.) Use the graphing tool to graph the function. (For any answer boxes shown with the grapher, type an exact answer. Type the word pi to insert the symbol x as needed.) 3. Find an equation for the graph. Type the equation of the given graph in the form y = A sin Bx or y= Acos Bx. (Type an equation. Use integers or fractions for any numbers in the equation. Simplify your answer.) Find the exact value of the given expression. cos 2 2 pe an exact answer, using as needed. Use integers or fractions for any numbers in the expression.)

Solution

2) y = -2*cos(x/2)

Amplitude = 2

Period = 4pi

3) At x = 0 ======> y = 0

     At x = 3pi/2 =======> y = -3

     At x = 3pi =======> y = 0

     At x = 9pi/2 =======> y = 3

     Then y = -3*sin(x/3)

4) cos^-1(1/2) = cos^-1(cos60) = 60 degree = pi/3 radian