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Trigonometry

100

Solve for x on 0 degrees greater than or equal to x but greater than 360 degrees 

2sin x-1=0

x=30 degrees, x=150 degrees

200

verify the identity 1-cos²x/sin x=sin x

sin x

300

what is a unit circle?

A unit circle is a circle used to define sine, cosine, & tangent for all angles

Sequence & Series

100

what is the difference between an arithmetic sequence & a geometric sequence?

The arithmetic sequence adds the same number each time & the geometric sequence multiplies the same number each time

200

find the 12th term of the arithmetic sequence 

5,8,11,14...

a¹²=38

300

find the sum of the geometric series

3+6+12+24+48

93

Polar, Vector, Parametric

100

What are parametric equations?

Equations where both x & y are written in terms of a third variable

200

Convert polar to rectangular coordinates

(r,0)= (6, pi/3)

(3,square root 3)

300

Eliminate the parameter

x=2t+1, y=t²

y=(x-1)²/4

Limits

100

What is a limit?

A limit is the value of a function approaches as x gets closer to a certain number 

200

Evaluate the limit 

lim x->3(x²-5x+6)

0

300

Evaluate the limit

lim x->2 (3x+1)

7

Derivative

100

What is a derivative?

A derivative measures how fast a function changes

200

Find the derivative 

f(x)=4x³

12x²

300

Find the derivative 

f(x)=5x²-3x+7

10x-3