Unit 1 - Measurement
Find the exact value of each trigonomic function.
The first step is to get csc θ
by itself:
-8 –8csc θ =
-24
Add 8 to both sides of the equal
sign
-8csc θ = -16
Divide both sides by -8
csc θ = 2
Change to sine
1/sin θ =2
Move sine to numerator
sin θ = ½
Look on unit circle to see where sin is ½
Θ = π/6 , 5π/6
Unit 2 – Graphing
To describe a transformation, you will first need to
understand the different variables of a graph and what they do.
The formula:
y = a
* cosb ( θ – h) +k
a = rate/amplitude h = horizontal shift
b = horizontal stretch/shrink k = vertical shift
When given the problem: y = 4sin (θ
- 3π/2) + 6
The 4 is your “a” value, therefore,
the amplitude is 4.
There is a right shift of 3π/4
The graph shifts up 6
All of this can be determined from
looking at the equation and matching up the variables.
Unit 3 – Identities
Problem: cosθ/secθ
+ sinθ/cscθ
First, convert everything into sine
and cosine.
=
cosθ/(1/cosθ) + sinθ/ (1/sinθ)
=
cos2θ + sin2θ
= 1
The answer 1 can be found from
looking at the Pythagorean Identities.
Unit 4 – Inverses
Problem: sin(cos-1 (√3)/2)
First, find the cosine, and use
that to fine the sine.
= sin(π/6)
Then, look for the sin of π/6 on
the Unit Circle.
Answer: ½
I
chose to do a problem from each unit because this way, everything is covered
for my personal review. I really wanted to focus on the basics because I have been
struggling in this class. I feel like going through the basics has actually
helped me a lot more in understanding where I have made so many mistakes.
Overall, I was able to understand what was going on and the project was very eye
opening. When working on it by yourself, you really get a chance to see where
you struggle and need to work harder at. I saw this as a very beneficial way to
review because you were able to tackle what you needed to. I’m hoping that I
will do a lot better on the exam than I have been on quizzes and tests.