Show:
The Unit Circle
Fundamental Identities
Graphing Functions
Triangles
Legal or Illegal?
100
True or False: Tan 4∏/3 = -√3/3
What is false? 4∏/3 is in quad 3, so a negative/negative is positive!
100
Sec^2 x + 1 = Tan^2 x True or False?
What is false?
100
What is the domain of a Cosine graph?
What is (-infinity, infinity)
100
What kind of triangle is this? 95⁰, 35⁰, and 50⁰
What is obtuse?
100
(5+6)(25+30+36)= 5^3 - 6^3 Legal or Illegal?
What is ILLEGAL MATH?
200
135⁰
What is 3∏/4 divide 135 by 180, and it is .75 which in radians is 3∏/4
200
True or False? Sec(90⁰-Ø)= CosØ
What is True? Opposites go together
200
What is the amplitude of y=4sin3/2X
What is 4?
200
What is the reference angle of 218⁰?
What is 38⁰? 218-38=180, which is the closest reference angle
200
Sin^2x + Tan^2x/Sin^2X = Tan^2x Legal or Illegal?
What is Illegal Math? You cannot eliminate with addition still in the numerator!
300
Find the sin of 7∏
What is zero One rotation is 2∏, so 7∏ is at 180, which has a sin of 0
300
1-cos50/sin50 What is the value of the identity?
What is Tan25
300
What is the period of y=5sin1/2x?
What is 4∏?
300
What is the reference angle of 1426⁰
What is 14⁰? 1426-360-360-360= 346, which the closest reference angle is 360⁰
300
y= 2+5Sin3/2 Period= 2∏/b = 2∏/(3/2) = 2∏*2/3 = 4∏/3 Legal or Illegal?
What is Legal?
400
Find the Cos of 11∏/2
What is zero 11/2= 5.5, cos at ∏ is 0
400
Given cosØ = 3/5, find Tan2Ø
What is -24/7? Use the Pythagorean theorem and the double angle identity
400
In F(X)=CotX, which 2 points are marked as undefined?
What is 0 and ∏?
400
Given cosØ = -5/13, find sinØ
What is 12/13 Use the Pythagorean theorem
400
Cos(-3∏/2) = Cos -3∏/2 = 0 Legal or Illegal?
What is ILLEGAL MATH?
500
What quadrant is 28∏/6 in?
What is Quad 2? One rotation around the unit circle is 12∏/6, so there is 4∏/6 left after taking out two rotations. 4∏/6=2∏/3
500
Write 6cos75⁰sin25⁰
What is 3cos100⁰-3sin50⁰? Use the product to sum identity for cosA-sinB
500
Which function is a reciprocal of another function and has an asymptote at 0 and ∏ in it's parent function?
What is Csc?
500
What is the value of Sec87⁰
What is 19.107? Hint: Use a calculator. Sec87=1/Cos87
500
Tan^2 X + Cos^2 X + Sin^2 x = Sec^2 X Legal or Illegal?
What is Legal? Cos^2 X + Sin^2 X = 1 1 + Tan^2 X = Sec^2 X