Convert the rectangular coordinates of (7, 5) to polar coordinates
Round to three decimal places

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

.

Find the exact value of cos(7 π/ 12)

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

Find all exact solutions on [0, 2π).

sin^2 (x) + cos^2 (x) + sin(x) = 0

Convert the polar coordinates of (15, 27) to rectangular coordinates
Round to three decimal places

Find the magnitude and direction of the vector, 0 ≤ θ < 2π.

(4,5)

Find the exact value of cos(19 π/ 4)

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

Find all exact solutions on [0, 2π).

sin^2(x) + cos^2(x) = 9

Convert the given Cartesian equation to a polar equation.

x^2 − y^2 = 2x

Given an initial point, P1 = (9, 4) and terminal point P2=(−2, 4)

Write the vector v in terms of i and j.

Rewrite in terms of sin(x) and cos(x).

cos(X - 3 π/ 4)

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.

Find all exact solutions on [0, 2π).
3 tan^2(x) = 2 sec(x)

Find the inverse of the polar point
(2, π/ 2)

Use the vectors u = 2i + j and v = 9i − 6j.

Find 4v + 3u.

Find the exact value using the half-angle formula.

3 sin(π/ 3)

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

Find all exact solutions on [0, 2π).

cos(2x) + cos(x) = 0

Convert the equation from rectangular to polar form

x^2 + (y − 5)^2 = 9

Use the given vectors to compute u + v, u − v, and 2u − 3v

u = (8, 1)
v =( 6, 7)

If sin(x) =2/3 and x is in quadrant 1

Find the exact values of the expressions without solving for x

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?

Find all exact solutions on [0, 2π).
cos^3(x) = cos(x)