1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function. What is the phase shift, h, of this curve? (2 points)

What is the vertical shift, k, of this curve? (2 points)

What is the amplitude, a, of this curve? (2 points)

1. Vertical shift, when k is outside of the parenthesis it indicates the translation up or down. Positive k is up and negative k is down.

2. Horizontal shift, when k is inside of the parenthesis it indicates the translation left or right. BE CAREFUL: positive k is left and negative k is right. Don’t get these mixed up

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°