1. Solve the trigonometric equation (cos x)(2sin x + 1) = 0 = 0 in the interval [0, 360).

Find the exact values.

2. Tickets for a show were available at a discounted price of $25 if bought in advance, and at

the full price of $36 if purchased at the door. $16,540 was collected through the sale of 600

tickets. Suppose you want to find out how many of each type of ticket were sold.

Let x = number of discount tickets sold and y = number of full-price tickets sold

(a) Write a system of two equations involving variables x and y, corresponding to the information

given about the tickets.

Equation: ___________________________

Equation: ___________________________