a. Sketch the curve of y = sin x for 2 x 2. b. Solve

a. Sketch the curve of y = sin x for −2π ≤ x ≤ 2π.

b. Solve the equation sin x = 0.6 for −2π ≤ x ≤ 2π, and illustrate all the roots on your sketch.

c. Sketch the curve y = cos x for −2π ≤ x ≤ 2π.

d. Solve the equation cos x = 0.8 for −2π ≤ x ≤ 2π, and illustrate all the roots on your sketch.

e. Explain why some of the roots of sin x = 0.6 are the same as those for cos x = 0.8, and why some are different.