In the following express the angles in radian measure a Find

In the following, express the angles in radian measure. (a) Find three angles whose sine is - 1/2 (b) Find three angles whose cosine is Squareoot 2/2 Let p(x) = 4 sin(2x)+1. (a) Identify the parent function f. (b) Describe the sequence of transformations from f top.

Solution

11. A. Sin theta=-1/2

theta=7pi/6,11pi/6,19pi/6

B. Cos theta =sqrt2/2

Theta=pi/4 , 7pi/4, 9pi/4

12. The parent function is f(x)=sin x

Because of 2x the graph stretched horizontally by 2 and because of 4 the graph stretched vertically by 4.And because of +1 the graph shifts 1 units upwards.