WorksheetsUnit 9 HTP
Total questions: 20
Worksheet time: 19mins
Find the rectangular coordinates of the point (3, 120°)
(3/2, 3√3/2)
(-3/2, 3√3/2)
(-5/2, 5√3/2)
(5/2, 5√3/2)
Find polar coordinates for the point that has rectangular coordinates (-4, 3)
(-36.870, 5)
(-5, -36.870)
(5, -36.870)
(5, 35)
Convert the complex number -1-i√5 into polar form
(√6, 245.905°)
(√6, 65.905°)
(-√6, 24.095°)
(-√6, -245.905°)
Convert the complex number 3 + i√3 into polar form
(2√3, -60°)
(√30, 30°)
(2√3, 60°)
(2√3, 30°)
Write the complex number 2 + 2i in trigonometric form.
2√2(cos45° + isin45°)
2(cos45° + isin45°
2√2(cos45° + sin45°)
2√2(cos30°+ isin30°)
Write the complex number -2 + √2i in trigonometric form.
6(cos144°+ isin144°)
√6(cos144.736° + sin144.736°
√6(cos144.736° + isin144.736°)
6(cos144.736° + isin144.736°)
Find the moduli of the complex number 5+6i.
61
√61
√11
11
A rocket is fired from the ground with an initial velocity of 90 feet per second at an angle of 34°. How long is the rocket in the air?
3.145 seconds
4.663 feet
4.663 seconds
3.145 feet
A rocket is fired from the ground with an initial velocity of 90 feet per second at an angle of 34°. How high does it go?
158.279 feet
77.771 feet
39.576 seconds
39.576 feet
Find a linear equation from the parametric equations.
x=-t-6
y=2t+3
x=2y-9
y= -2x-9
y=2x-9
y=1/2+9
Find the parametric equations from a line that passes through the points (1,-1), (5,-7).
x= -3/2
y=2t+5
x= -3t-7
x=2t+5
y= -3t-7
y= -3/2
The graph of the polar equation r = 3・cos(2Ө) is shown below. What type of curve is shown?
Rose Curve
Limacon
Cardioid
Parabola
The limacon curve is shown below. What is the polar equation of the curve?
r=sin(4θ)
r=-2-2sin(θ)
r=9sin(2θ)
r=-5+3cos(θ)
Find the polar equation for the complex number [cos (π/2)+i*sin(π/2)]^8 using DeMoivre’s Theorem?
cos(8)+isin(8)
[cos(8π)+isin(8π)]
cos(4π) + i* sin(4π)
cos(π)+isin(π)
How do you eliminate the parameter when there is no trig present?
Substitute the equations
solve 1 equation for y and x
Solve 1 equation for t and then substitute.
solve both equations for t
When eliminating the parameter with trig, which is not a methods of substituting into a Pythagorean identity.
sin2θ + cos2θ=1
1+sin2θ=tan2θ
1+cot2θ= cos2θ
1+tan2θ = sec2θ
Find [(1/√2) + 1/√2*i]^12 using DeMoivre’s Therom.
cos(6)+i* sin(6)
12[cos(1/√2)+i* sin(1/√2)]
cos(12/√2)+i* sin(12/√2)
cos(1/√2)+i* sin(1/√2)
A landscaper is planning out a garden on a level site. The house is 200 feet away and 40° to the left and the shed is 500 feet away and 30° to the right. What is the distance between the house and the shed?
319.471 feet
598.669 feet
470.739 feet
470.740 feet
Which coordinates match the given graph?
(5, -π/3)
(3, π/4)
(4, -π/4)
(-4, -π/2)
Find all the 3rd roots of z = -125
5[cos(60)+isin(60)]
5[cos(420)+isin(420)]
5[cos(780)+isin(780)]
5[cos(60)+isin(60)]
5[cos(180)+isin(180)]
5[cos(300)+isin(300)]
125[cos(180)+isin(180)]
125[cos(300)+isin(300)]
125[cos(420)+isin(420)]
125[cos(60)+isin(60)]
125[cos(420)+isin(420)]
125[cos(780)+isin(780)]
