Trig 1
How many radians are on the unit circle?
6.28
What are 2 ways to write sin in inverse notation?
sin-1 or arcsin
Where do sin graphs start?
Midline
How would you factor Cos2x - 1?
(Cosx + 1)(Cosx - 1)
What is the difference between () and []?
() means not included, [] means included
Opposite of sine
Cosecant
What is the answer to sin-1(sin(pi/2))?
pi/2
Where do cosine graphs start?
At min or max value
What is the ONE rule when taking the square root of both sides of an equation?
The answer will be plus or minus.
Why is it important to know the range of a problem?
It tells you when to stop adding your variable
What is across from a 30 degree angle?
1
Does evaluating or solving use principal values?
Evaluating
How do you graph a sec graph?
Draw a normal cosine graph. Label asymptotes where there is an intersection between midline. Draw u's in the middle of 2 intersections.
What is the range for sin? (state whether your answer uses parentheses or brackets)
[-1,1]
How would one go about solving 2cos2x = 1?
First divide by 2 on both sides. Then you have cos2x = 1/2. Then ignore the 2x for now and find where cos equals one half. Then you have cos2x = pi/3 + 2pi(n) and cos2x = 5pi/3 + 2pi(n). Finally, divide by 2 on both sides and get your final answer.
What type of angle is 11pi over 6?
30 degree
Where is the "lava" for sin and tan?
Quadrants 2 and 3
Where are the asymptotes of cotangent?
pi(n)/2, n being an even integer
If the question asks to solve for all, what will ALWAYS be in your answer?
An n
When is Carson Vanbeek's birthday?
July 9th
Where is tangent negative?
Quadrants 2 and 4
Where is the "lava" for cosine?
Quadrants 3 and 4
Where do asymptotes of tangent ALWAYS lay?
pi(n)/2, n being an odd integer
If you are asked to solve for all answers with a sin vs a tan problem, what will differ in your final answer?
Sin will use a 2pi(n) while tan will use a pi(n)
When solving for a ratio when finding all solutions, why is it generally that tangent functions only need one answer where sin and cosine need two?
This is because tangent adds pi(n) meaning that you will get to the same spot that also shares that value, while for sin and cosine, the same value is generally 2pi away, meaning you have to write out both. I really hope this makes sense