Question

Let f(x) = sin x; Sketch the graph of f^2

Answer 1

Answer: see graph

Explanation:

Look at the Unit Circle to see the coordinates of the quadrangles.

Build a sine table for one period (0° - 360°).

x y = sin(x) y² = (sin(x))² (x, y²)

0° sin(0°) = 0 (0)² = 0 (0°, 0)

90° sin(90°) = 1 (1)² = 1 (90°, 1)

180° sin(180°) = 0 (0)² = 0 (180°, 0)

270° sin(270°) = -1 (-1)² = 1 (270°, 1)

360° sin(360°) = 0 (0)² = 0 (360°, 0)

Now plot the (x, y²) coordinates on your graph.