Unit Circle
What is sine of 135 degrees
sqrt(2)/2
What is the definition of sine in terms of a right triangle?
Opposite / Hypotenuse
What variable represents amplitude in the general form of a trigonometric function
a
What is Pythagorean Identity
sin^2x+cos^2x=1
What is the angle of elevation?
The angle formed by a horizontal line and the line of sight to an object above the horizontal.
What is cosine of 240 degrees
-1/2
If a triangle has an angle of , and the hypotenuse is 10, what is the length of the side opposite the angle?
5
Write a general form of a sin function
y=asin(bx-c)+d
What is cot^2(x) equal to?
csc^2(x)-1
A 16 ft ladder is placed against a
building so that it is 9 ft from the
base of the building. How far up
the building does the ladder reach?
13.2
What is sine of 585 degrees
-sqrt(2)/2
if sinA=5/7 and cosA is a negative angle, what is tanA?
-(5sqrt24)/24
What is period of a trig function
the horizontal distance on the graph where one complete cycle of the function occurs
Simply to a single trig function 5+5tan^2(x)
5sec^2(x)
A person flying a kite lets out 40 ft.
of string. If the string makes a 38 degree angle
with the ground, how high is the kite?
24.6 ft
What is tangent of 330 degrees
-sqrt(3)/3
cotA=-3/4, cos is positive. Find sinA
-4/5
Write a different version of a general form of a sin function
y=asin(b(x-c/b))+d
Simplify tan(x)sin(x)+cos(x) to a single trig function
sec(x)
A wire is tied to a tree for support,
6 ft from the top of the tree. If the wire
is 30 ft long and forms an angle of 46 degrees
with the tree, how tall is the tree?
26.8 ft
What is cotangent of 1035 degrees
-1
One leg of a right triangle measures 6 inches. The remaining leg measures 6 sqrt 3 inches. What is the measure of the angle opposite the leg that is 6 inches long?
30 degrees
How would you find all 4 intervals of a tangent function using only phase shift and period
Ph.S-Period/2, Ph.S - Period/4. Ph.S, Ph.S + Period/4, Ph.S + Period/2
Simplify tan^2(x)+1+tan(x)sec(x) to sin and cos functions
(1+sin(x))/cos^2(x)
The angle of depression of a vehicle from the top of a tower on the ground is 60. If the vehicle is away from the building at a distance of 100 meters, find the height of the tower.
173.20 meters