Q : Identify the x-values that are solutions of each multiple choice equation:
1. 8cos x +4 = 0
A. x= 2π/3 , 4π/3
B. x=4π/3, 5π/3
C. x = π/3 , 5π/3
D. x =π/3 , 4π/3
2. 10cos x – 5 √(3) = 0
A. x =5π/6 , 7π/6
B. x = π/6 , 11π/6
C. x = 7π/6 , 11π/6
D. x = π/6 , 7π/6
3. 18cos x – 9 = 0
A. x = 4π/3 , 5π/3
B . x = 2π/3 , 4π/3
C . x = π/3 , 5π/3
D. x = π/3 , 4π/3
Continue reading Exact values & multiple quadrant answers
Here is what we know:
360° = 2π Radians
Divide both sides by 360:
1° = π/180 Radians
Or, if we had divided both sides by 2π we get:
1 Radian = 180°/π
Continue reading Covert Radians to Degrees and Convert Degrees to Radians
Q : Find all solutions of the equation in the interval [0, 2π )
2 cos² x = 13 sin x – 5
A. π/4 , 3π/4 , 5π/4 , 7π/4
B. π/6, 5π/ 6
C. 3π/4 , 7π/4
D. π/3 , 2π/3 , 4π/3 , 5π/3
Continue reading Solving Trig Equations
Q: Find all solutions of the equation in the interval [0, 2π )
tan²x – sec x = -1
b. π/4 , 3π/4 , 5π/4 , 7π/4
c. π/6 , 5π/6
d. 2π/3 , π , 4π/3
Continue reading Trig problem
If you are in trigonometry or pre-calculus, the below is something you want to memorize, write down, something! Here is a table with the “exact values” for the important angles we use:
|0 (or 360)
||0 (or 2π)
Remember: If you ever need to find csc, sec, or cot values, they are just reciprocals. Csc is the reciprocal of sin, sec is the reciprocal of cos, and cot is the reciprocal of tan.
Q: Superburger sells hamburgers with the choice of ketchup, mustard and relish. One day they sold 256 hamburgers; 140 had mustard, 140 had ketchup, 84 had ketchup and relish, 62 had mustard but no relish, 68 had ketchup and mustard, 38 had all three condiments and 20 had none.
(a) The number sold with relish only is?
(b)The number sold with no relish is?
Continue reading Venn Diagram Word Problem
Q: Steve Trinter, an electronics salesman, earns a weekly salary plus a commission on sales. One week he sold $4000 in merchandise and was paid $660. The next week his sales totaled $6000, and his pay was $740. Find his weekly salary and his commission rate.
Continue reading Commission Word Problem
Q: Find all solutions to the equation in the interval [0, 2π): sin(2x) – tan(x) = 0
Continue reading Trig solutions
1. Find the end behavior of the following functions:
(a) Consider: y = (x²-2x)/(-x³-5x²+4)
as x goes to ∞, y goes to ?
as x goes to – ∞, y goes ?
(b) Consider y = (2x+1)/(-4x+1)
as x goes to ∞, y goes ?
as x goes to – ∞, y goes ?
Continue reading End Behavior
Q: Solve: log(5x − 7) − log(4x − 5) = 0
Continue reading Logs
Q: Problems of sexual harassment recieved much attention in recent years. In one survey, 420 workers (240 of whom are men) considered a friendly pat on the shoulder to be sexual harassment, whereas 580 workers (380 of whom are men) did not consider it to be a form of harassment. Find the probability of randomly selecting a man or someone who does not consider a pat on the shoulder to be a form of sexual harassment.
Continue reading Probability Problem