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Polar Planes Vectors Trig Expressions Triangles Trig equations
100
What is (8.602, 35.537)
Convert the rectangular coordinates of (7, 5) to polar coordinates
Round to three decimal places
100
What is (2,-17)
Given a vector with initial point (7, 2) and terminal point (9, −15), find an equivalent vector whose initial point is (0,0).

Write the vector in component form a, b

.
100
What is
-√(2 - √3) / 2
Find the exact value of cos(7 π/ 12)
100
What is
A= 36.6º
B= 23.4 º
c= 17.4
Assume A is opposite side a, C is opposite side b, and Y is opposite side c. Solve the triangle for the unknown side and angles. Round to the nearest tenth.

a = 12
b = 8
Y = 120º
100
What is
3π/ 2
Find all exact solutions on [0, 2π).

sin^2 (x) + cos^2 (x) + sin(x) = 0
200
What is (13.365, 6.809)
Convert the polar coordinates of (15, 27) to rectangular coordinates
Round to three decimal places
200
What is
Magnitude ~ √ 41
Direction ~ .022
Find the magnitude and direction of the vector, 0 ≤ θ < 2π.

(4,5)
200
What is
-√2 / 2
Find the exact value of cos(19 π/ 4)
200
What is
b= 7.6
Use the Law of Cosines to solve for the missing angle of the oblique triangle. Round to the nearest tenth.
Find side b.

A= 130º
a = 17
B= 20º
200
What is
No Solution
Find all exact solutions on [0, 2π).

sin^2(x) + cos^2(x) = 9
300
What is r^2 cos^2(θ) - r^2 sin^2(θ)= 2r cos(θ)
Convert the given Cartesian equation to a polar equation.

x^2 − y^2 = 2x
300
What is -11i + 0j
Given an initial point, P1 = (9, 4) and terminal point P2=(−2, 4)

Write the vector v in terms of i and j.
300
What is
- (cos(x) √2/ 2 + sin(x) √2) / 2
Rewrite in terms of sin(x) and cos(x).

cos(X - 3 π/ 4)
300
What is 337
Find the area of a triangular piece of land that measures 30 feet on one side and 23 feet on another; the included angle measures 102°. Round to the nearest whole square foot.
300
What is
.765
5.517
Find all exact solutions on [0, 2π).
3 tan^2(x) = 2 sec(x)
400
What is ( -2, π/ 2)
Find the inverse of the polar point
(2, π/ 2)
400
What is 12i + (-21j)
Use the vectors u = 2i + j and v = 9i − 6j.

Find 4v + 3u.
400
What is
3√3 / 2
Find the exact value using the half-angle formula.

3 sin(π/ 3)
400
What is
A= 80.5º
b= 11.4
Y= 29.5º
Assume A is opposite side a, B is opposite side b, and Y is opposite side c. If possible, solve the triangle for the unknown side. Round to the nearest tenth.

B= 70º
a = 12
c = 6
400
What is
π/ 3
Find all exact solutions on [0, 2π).

cos(2x) + cos(x) = 0
500
What is r^2 cos^2(θ) + (rsin(θ)-5)^2 = 9
Convert the equation from rectangular to polar form

x^2 + (y − 5)^2 = 9
500
What is
u + v = (17, 8)
u - v = (2, -6)
2u - 3v = (17, -39)
Use the given vectors to compute u + v, u − v, and 2u − 3v

u = (8, 1)
v =( 6, 7)
500
What is
Sin (x) = 4√5/ 9
Cos (x) = 1/ 9
Tan (x) = 4√5/ 1
If sin(x) =2/3 and x is in quadrant 1

Find the exact values of the expressions without solving for x
500
What is
128 meters
Points A and B are on opposite sides of a lake. Point C is 76 meters from A. The measure of angle BAC is determined to be 46°, and the measure of angle ACB is determined to be 98°. What is the distance from A to B, rounded to the nearest whole meter?
500
What is
π/ 2
3π/ 2
π
Find all exact solutions on [0, 2π).
cos^3(x) = cos(x)




Math 172 APL #2

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