Polar Planes Vectors Trig Expressions Triangles Trig equations
What is (8.602, 35.537)
Convert the rectangular coordinates of (7, 5) to polar coordinates
Round to three decimal places
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

.
What is
-√(2 - √3) / 2
Find the exact value of cos(7 π/ 12)
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
What is
3π/ 2
Find all exact solutions on [0, 2π).

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

(4,5)
What is
-√2 / 2
Find the exact value of cos(19 π/ 4)
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
What is
No Solution
Find all exact solutions on [0, 2π).

sin^2(x) + cos^2(x) = 9
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
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.
What is
- (cos(x) √2/ 2 + sin(x) √2) / 2
Rewrite in terms of sin(x) and cos(x).

cos(X - 3 π/ 4)
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.
What is
.765
5.517
Find all exact solutions on [0, 2π).
3 tan^2(x) = 2 sec(x)
What is ( -2, π/ 2)
Find the inverse of the polar point
(2, π/ 2)
What is 12i + (-21j)
Use the vectors u = 2i + j and v = 9i − 6j.

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

3 sin(π/ 3)
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
What is
π/ 3
Find all exact solutions on [0, 2π).

cos(2x) + cos(x) = 0
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
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)
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
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?
What is
π/ 2
3π/ 2
π
Find all exact solutions on [0, 2π).
cos^3(x) = cos(x)