Math 142 Chapter 7 & 8

Question 1

How to find the area of a triangle when an angle is given? The equation

Answer 1

1/2 (a)(b) sin(c)

Question 2

How to find the area of a triangle when no angle is given? The equation

Answer 2

A= sq (s (s-a) (s-b) (s-c))

Question 3

When finding the area of a triangle w/ no angles how do we find the variable “s”?

Answer 3

1/2 (a+b+c)

Question 4

When the question is asking to find all possible solutions how do we do this?

Answer 4

Theta = the radian +/- k(2pi)

Question 5

When the question has a coefficient in front of theta how do you go about the problem?

Answer 5

Find the radians of theta then multiply each answer’s denominator by the coefficient.

Question 6

When solving a linear equations, what is our final step?

Answer 6

Finding the radian of the ‘coordinate’

Question 7

When solving a linear equation and Sin of theta is 4 what is the radian answer?

Answer 7

No solution, because the unit circle only goes from -1 to 1

Question 8

What is the quadratic equation?

Answer 8

x = -b+/- sq (b^2-4ac)
———————————–
2a

Question 9

When factoring or using the quadratic formula how many possible answer may we have

Answer 9

with the quadratic we can have up to 2 possible answers and the factoring can also have up to two answer.

Question 10

when using multiple identities what is the trick?

Answer 10

We want to use an argument to match most of the time

Question 11

What is the equation to model oscillating graphs?

Answer 11

y = ASin(Bx-c) +D

Question 12

For find oscillating graphs how do we find D

Answer 12

2

Question 13

What is the equation used to model damped harmonic motion?

Answer 13

-ct
ae Sin/Cos(wt)

Question 14

What does the a in the damped harmonic motion represent?

Answer 14

initial displacement

Question 15

If the equation includes an ‘e’ what does this mean?

Answer 15

The graph is dampened

Question 16

What does a dampened harmonic motion mean?

Answer 16

A graph that eventually stops, like a spring

Question 17

What does oscillating motion mean?

Answer 17

a wave that continues.

Question 18

In both damped and oscillating equations how do we find c?

Answer 18

We find c by using a data point

Question 19

When we are given an equation of a dampened motion how do we graph it?

Answer 19

By first drawing the first part of the equation and reflecting. Then graph the second equation between the first equation so that it is bounded.

Question 20

What is the equation for Law of Cosines?

Answer 20

c= (a)^2 + (b)^2-2(a)(b)cos(c)

Question 21

What is the equation for the Law of Sines?

Answer 21

Sin (a). Sin(b)
——– = ———
a b