Graph of Trigonometric Functions
True or False: The period is half the distance between the maximum and minimum values of the function.
False
The expression sec x / csc x is equivalent to
cot x
In solving right triangle, which trigonometric function can be used when the measures of the opposite and adjacent sides are given?
tangent
Given triangle ABC with A= 70 degrees and B = 80 degrees, and a = 12 cm, What is the measure of C?
30 degrees
Given triangle ABC if A = 42.3°, b = 12.9 meters, and c = 15.4 meters. Solve for a.
10.47m
What is the amplitude of the graph of the trigonometric function, y = 3 sin x
3
What is the equivalent of the expression tan x / sec x?
sin x
To use the sine function, which pair of sides must be given?
opposite and hypotenuse
Given triangle ABC with A= 70 degrees and B = 80 degrees, and a = 12 cm, What is the measure of b?
12.6 cm
Given triangle ABC if A = 42.3°, b = 12.9 meters, and c = 15.4 meters. Solve for B.
56 degrees
What is the period of the graph of the trigonometric function, y= 4 cos 2x?
pi
Expressed in simplest form, (csc x)(tan x)(cos x), is equivalent to
1
Given right triangle ABC, where C is the right angle, b = 12 units, and c = 13 units. What is the measure of a?
5 units
Given triangle ABC with A= 70 degrees and B = 80 degrees, and a = 12 cm, What is the measure of c?
6.4cm
Given triangle ABC if A = 42.3°, b = 12.9 meters, and c = 15.4 meters. Solve for C.
81.7 degrees
What is the period of the graph of the trigonometric function, y = 1/3 tan 2x?
pi/2
The simplest form of the expression, (tan x)(csc x) is
sec x
Given right triangle ABC, where C is the right angle, b = 12 units, and c = 13 units. What is the measure of A?
22.62 degrees
Given a triangle, ABC, with = 88°, side a = 26mm, side b = 16.1mm, and side c = 21mm. Find the measures of B.
38 degrees
Given triangle ABC where A = 143 degrees, b = 17 units, and c = 22 units. Solve for B.
16 degrees
Show the graph of y = 2 cos x/4
graph
Simply the expression, (sec x)(cot x)(sin x), in terms of sine and cosine.
1
The angle of elevation of the top of the tower from a distance of 200ft from the base is 80 degrees. Find the height of the tower.
1,134.3 ft
Airplane A is flying directly toward the airport which is 20miles away. The pilot notices airplane B is to her right. Airplane B is also flying directly toward the airport. The pilot of airplane B calculates that airplane A is 50 degrees to his left. Based on that information, how far is airplane B from the airport?
18.5 mi
Three boats are at sea: Alexa (A), Bridgette (B), and Claire (C). The crew of A can see both B and C. The angle between the line of sight of B and the line of sight to C is . If the distance between A and B is 2mi and the distance between A and C is 4mi, what is the distance between B and C?
2.94 mi