C6: Trigonometric Functions
C7: Analytic Trigonometry
C9: Polar Coordinates
Random
100
1. In what quadrants are cotangent values positive?
2. Convert 240º into radians.
3. Find the value of cos270º
1. 3rd Quadrant
2. 4π/3
3. 0
100
Solve: cos(3π/2) + sin(2π/4) + tan(3π/4)
0
100
Convert to Polar Form: [x = 8]
R = 8secθ or (8/cosθ)
100
Solve: cos(π) + sin(5π/6) + tan(4π/3)
√3 - 0.5
200
List the period of the parent sine function, cosine function, and tangent function.
Sine & Cosine = 2π
Tangent = π
200
Solve within (0,2π): tan(cos-1(-1/2))
-√3 & √3
200
Which limacon does this function represent?
[7 - 4cosθ]
Dimpled Limacon
200
Convert to Polar Form: [x2 + y2 = 6x + 4y]
R = 6cosθ + 4sinθ
300
What are all of the coterminal angles to 135º in radians?
3π/4 +/- 2πk
300
Solve: 2sinx + cscx = 0
No solution!
300
Sine "Diagonal Infinity"
300
How many petals are in this equation: 0.2R = cosθ
5
400
List the Amplitude, Phase Shift, Vertical Shift, Period, and Frequency of the function
[f(x) = 4cos(0.2x-6)+8]
Amplitude = 4, Phase Shift = 30, Vertical Shift = 8, Period = 10π, Frequency = 1/10π
400
Simplify: cotθ (tanθ + cotθ)
csc2θ
400
How many petals are in this equation: 0.25R = sinθ
8
400
List the Amplitude, Phase Shift, Vertical Shift, Period, and Frequency of the function
[f(x) = 9tan(3πx-5π)+7]
Amplitude = 9, Phase Shift = 5/3, Vertical Shift = 7, Period = 1/3, Frequency = 3
500
Transform the function [csc(x)] so that it has a local minimum pt (x, 0.39) and a local maximum pt (x, -0.39)
0.39csc(x)
500
Simplify: (secθ) / (sinθ (cotθ + tanθ))
1
500
Convert to Rectangular Form: [R = (sinθcos2θ)] R3
x2+y2 = x√y
500
Convert to Polar Form: [y = √3*x]
θ = π/3