Math Final 150

Question 1

Midpoint

Answer 1

((x2 + x1)/ 2) , ((y2+y1)/2))

Question 2

Distance

Answer 2

d = sqrt((x2-x1)^2 + (y2-y1)^2)

*all under the square root

Question 3

Even Roots

Answer 3

> =

Question 4

If you take out an even number from a variable from a root, what do you put around it?

Answer 4

Nothing

Question 5

Point Slope Form

Answer 5

(y1-y0) = m(x-x0)

Question 6

If you take out an odd number from a variable from a root, what do you put around it?

Answer 6

|x| absolute value

Question 7

Slope Intercept Form

Answer 7

y = mx+ b

Question 8

Standard Form

Answer 8

Ax + By = C

Question 9

How to find the magnitude of u?

Answer 9

d = sqrt((x2-x1)^2 + (y2-y1)^2)

• all under the square root
• initial point and final point

Question 10

How to find the magnitude of v?

Answer 10

First, find the component form (if not given already)

<(x2-x1) , (y2-y1)>

Then, with component form find the magnitude of v

||v|| = sqrt((v1)^2 + (v2)^2)

• All under the square root

Question 11

If the magnitude of ||v|| = 1

what does that mean?

Answer 11

v is a unit vector

Question 12

Complex Standard form

Answer 12

z = a + bi

Question 13

Can log be negative?

Answer 13

No

Question 14

Quadratic Formula

Answer 14

x = (-b +- sqrt((b^2) - 4ac) ) / 2a

• sqrt end at 4ac
• whole equation is over 2a

Question 15

How do you find period?

Answer 15

2pi/b

Question 16

How do you find phase shift?

Answer 16

c/b

Question 17

csc(theta)

Answer 17

1/sin(theta)

Question 18

sec(theta)

Answer 18

1/cos(theta)

Question 19

cot(theta)

Answer 19

1/tan(theta)

Question 20

tan(theta)

Answer 20

sin(theta)/cos(theta)

Question 21

cot(theta)

Answer 21

cos(theta)/sin(theta)

Question 22

cos^2(theta)

Answer 22

= -sin^2(theta) + 1
or
= 1-sin^2(theta)

Question 23

sin^2(theta)

Answer 23

= -cos^2(theta) + 1
or
= 1-cos^2(theta)

Question 24

sin^2(theta) + cos^2(theta) =

Answer 24

1

Question 25

1 + cot^2(theta)

Answer 25

csc^2(theta)

Question 26

tan^2(theta) + 1

Answer 26

sec^2(theta)

Question 27

sin(2u)

Answer 27

2sin(u)cos(u)

Question 28

cos(2u)

Answer 28

= cos^2(u) - sin^2(u)
= 2 cos^2(u) - 1

= 1- 2sin^2(u)