Simplifying Trig Expressions
Sum/Difference Formulas
Solving Trig Equations
Law of Sines/Cosines
Polar Coordinates/Graphs
100
sin^2(x) + cos^2(x)
1
100
sin(A+B) =
sinAcosB + cosAsinB
100
Solve on the interval [0, 2pi)
2sin(x) = 1
pi/6, (5pi)/6
100
angleA=30, angleB= 70, c = 10
Find angleC
angleC = 80
100
Convert to rectangular form: (4, pi/2)
(0,4)
200
tan(x) cos(x)
sin(x)
200
Find cos(15)
(sqrt 6+sqrt2)/4
200
Solve on the interval [0, 2pi)
tan(x) = 1
pi/4, (3pi)/4
200
angleA = 45, a=10, angleB = 60
Find b
b = 12.25
200
Convert to polar form: (-3, 3)
(3, (3pi)/4)
300
tan x
tan x
300
Find sin((5pi)/12)
(sqrt6+sqrt2)/4
300
Solve on the interval [0, 2pi)
2cos^2(x) - 1= 0
pi/4, (3pi)/4, (5pi)/4, (7pi)/4
300
Two sides measure 7 and 10 with an included angle of 60 degrees. Find the third side.
8.89
300
Sketch a graph of r=4costheta
400
tan x /sec x
sin x
400
Find sin(pi/12)
(sqrt6-sqrt2)/4
400
Solve on the interval [0, 2pi)
sin(2x) = sin(x)
0pi, pi, pi/3, (5pi)/3
400
In a triangle, a = 8, b = 12, and A = 30 degrees. How many possible triangles are there?
Two triangles
400
How many petals does the graph of
r = 3sin(4theta) have?
8 petals
500
(tan x - tanx cos^2x)/cos^2x
tan^3x
500
Find tan((7pi)/12)
(sqrt2+sqrt6)/(sqrt2-sqrt6) or (sqrt3 + 1)/(1-sqrt3
500
Solve on the interval [0,2pi)
cos(2x) + 3sin(x) = 2
pi/2, pi/6, (5pi)/6
500
A triangle has sides 5, 7, and 10. Find the largest angle.
112 degrees
500
Identify the symmetry of the graph: r=2-2costheta
Symmetric about the x-axis (y=0)