Trig Identities
Vectors
Oblique Triangle
Trig Equations
Polar
100

verify using sum formula for sin(x+3pi/2)=-cosx

What is sin(x+3pi/2) DOES =-cosx

100

Convert <3,-4> from component form into unit vector

What is 3i-4j?

100

Find area of oblique triangle with sides 10cm, 24cm, and 20cm (Hint: use Heron's formula)

What is an area of 98.1784

100

solve equation: sin2(x)-cos2(x)=0; interval [0,2pi)

What is pi/4, 3pi/4, 5pi/4, 7pi/4

100
Given (2,3π/4), find the distance from origin. 

What is a distance of 2 units

200

verify using the difference of tan(2pi-x)=-tanx

tan(2pi-x) DOES =-tanx

200

Determine the component form of a vector that shifts the left by 5 and shifts down by 2

What is <-5,-2>

200

Given angleA is 60º, angleB is 70º, angleC is 50º, and a is 8, Solve triangle for b and c

What is: 

b=8.68

c=7.07

200
Evaluate sin2x+2sinx-3=0 for the first quadrant. 

What is pi/2?

200

Determine another way to represent (3, pi/6) in polar form. 

What is (-3, 7pi/6)?

300

find exact values for sin(45º-30º)

What is (sq.root 6 - sq.root 2)/4 

300

Find Magnitude of vector (-3,4)

What is magnitude=5

300

Determine if this triangle has 1, 2, or no solutions: AngleA is 73º, a=24, b=28.

What is no solution?

300

evaluate sin(x)-sin(2x)=0 for interval [0,2pi)

What is 0, pi, pi/3, 5pi/3?

300

Convert r=3sin(angle) into rectangular form

what is x2+y2-3y=0?

400

given tanx=5/12 in the first Quadrant, find sin(2x)

sin(2x)=120/169

400

Determine the direction of -3i+4j in degrees 

What is 126.87º

400

Given side A=4, side B=3, and angleA=41, find side c

What is 5.75?

400

solve sin(x/2)+cosx-1=0 by using half angle formula for interval [0,2pi). 

What is 0, pi/3, 5pi/3?

400

Convert 2x+y-2=0 into polar form

What is r=2/(2cos(angle)+sin(angle))

500

Evaluate sin(3pi/8)

what is (sq.root (2+sq.root2))/2?

500

v=3i-2j and u=-5i+3j; determine v+u, u-v, and 4v+2u

What is 

v+u=-2i+1j

u-v=-8i+5j

4v+2u=2i-2j


500

Given A=58º, b=12.8, c=11.4, find the angles of both triangle possibilities. 

Case1: 

A=58º, B=72.21º, C=49.79º

Case2:

A=58º, B=107.79, C=14.21º

500

Solve cos(2x)+cos(x)+1=0 (using double angle formula) in interval [0,2pi)

What are solutions pi/2, 3pi/2, 2pi/3, and 4pi/3?

500

A limascon polar graph has: x-intersects at 0,1, and 5, y-intersects at -2,0, and 2. Has an inner circle. Find equation. 

What is r=2+3cos(angle)

M
e
n
u