Angles
Right Triangle Trigonometry & Unit Circle
Graphs of Sine, Cosine, and Other Trig Functions
Inverse Trig Functions and Fundamental Identities
Bonus Round!
100
The type of the following triangle, the area, and the value of x
What is a right triangle, 12, and
2sqrt13?
100
All trig functions of the following triangle
What is...
Sin(θ)=5/10
Cos(θ)= 6/10
Tan(θ)= 5/6
Cot(θ)= 6/5
Csc(θ)= 10/5 = 2
Sec(θ)= 10/6
100
One complete cycle of a cosine and sine graph
What is...
Cosine:
Sine:
100
The value of
tan-1(tan(5pi)/6))
What is
(-pi)/6?
100
The area of section shaded red rounded to the nearest hundredth
What is 61.24?
200
(7pi)/28
radians in degrees and the coterminal value of 557o
What are 45o and 197o?
200
The exact value of trig functions for all special angles (multiples of 30 or 45 degrees) on the Unit Circle
What is...
200
One complete cycle of the tangent graph
What is...
200
Susan is standing 55 ft away from a statue. The equation of the angle of elevation, θ, from Susan to the top of the statue.
What is f(x)= tan-1(x/55)?
200
The value of cos(x), to the nearest hundredth, is -.45. According to the unit circle, the quadrant x is in.
What is the first quadrant?
300
The length of X
What is 17?
300
The quadrant and the exact value of
tan((3pi)/9)
What is quadrant I and
sqrt3?
300
The amplitude and period of the following graph
What is amplitude= 2 and period=
pi/2?
300
(1+sin(x))/(cos(x))+(cos(x))/(1+sin(x)
simplified
What is 2csc(x)?
300
The sketched graph of
f(x)=-8cot(7/11x)+5
What is
400
The arc length of X (round to two decimal places)
What is 7.68?
400
The exact value of all other trigonometric functions if sec(θ)=-4 and θ is in quadrant III.
What is...
Sin(θ)=-sqrt(15)/4, cos(θ)= 1/4, tan(θ)= sqrt15, cot(θ)= sqrt(15)/15, and csc(θ)= (4sqrt(15))/15
400
The equation of the following graph
What is f(x)=-4sin(3x-2)+1?
400
cos(x)+sin(x)tan(x)=sec(x)
verified
What is:
cos(x)/(1)+(sin(x))/(1)(sin(x))/(cos(x))=
cos(x)/(1)+sin^2(x)/cos(x)=
(cos^2(x)+sin^2(x))/(cos(x))=
(1)/cos(x)=sec(x)
400
A 20ft ladder leans up against the side of a house. The ladder is exactly 3ft away from the house. The angle the ladder makes with the ground rounded to the nearest whole number.
What is 81o?
500
The radius of the following circle given an angle measure and the sector area
What is 4.12?
500
Molly is standing at the top of a 70m tower and spots a house in the adjacent valley at an angle of depression of 13o. The distance of the house from the base of the tower.
What is 303m?
500
The amplitude, period, phase shift, vertical shift, points of maximum and minimum, and one complete sketched cycle of the function
3cos(5x-pi/2)-2
What is...
Amplitude= 3
Period=
(2pi)/5
Phase shift=
pi/10
Max=
(pi/10,1)
Min=
((3pi)/10,-5)
Graph:
500
(cos^2(x)-sin^2(x))/(1-tan^2(x))=sin^2(x)
true or false. If false, find a true identity.
What is false and
(cos^2(x)-sin^2(x))/(1-tan^2(x))=cos^2(x)
500
(cos(x)cot(x))/(1-sin(x))-1=csc(x)
verified
What is:
(cos(x)cot(x))/(1-sin(x))*(1+sin(x))/(1+sin(x))=
((cos(x)cot(x)+cos(x)cot(x)sin(x))/((1-sin(x))(1+sin(x))))-1=
(cos(x)cot(x)+cos(x)cot(x)sin(x))/(cos^2(x))-1=
(cos(x)(cos(x)/sin(x))+cos(x)(cos(x)/sin(x))sin(x))/(cos^2(x))-1=
(1/sin(x))= csc(x)