1. Warm Up – 1/2 - Thursday

2. Warm Up – 1/2 - Thursday

3. 1. Graphs of sin, cos, tan, and their inverses. 2. Trig Identities
Today’s Exam Topics
1. Graphs of sin, cos, tan, and their inverses.
2. Trig Identities
3. Law of Sines and Cosines

4. Exam on Thursday
Trig Review

5. Trig Identities csc 𝜃= 1 𝑠𝑖𝑛𝜃 sec 𝜃= 1 cos 𝜃 cot 𝜃 = 1 tan 𝜃
tan 𝜃 = sin 𝜃 cos 𝜃 cot 𝜃 = cos 𝜃 sin 𝜃
Pythagorean Identities:
sin 2 𝜃+ cos 2 𝜃 =1

6. Examples

7. Law of Sines and Cosines
sin 𝐴 𝑎 = sin 𝐵 𝑏 = sin 𝐶 𝑐
Law of Cosines
𝑐 2 = 𝑎 2 + 𝑏 2 −2𝑎𝑏 cos 𝐶

8. Law of Sines or Cosines?

9. Warm Up – 1/3 - Friday

10. Warm Up – 1/3 - Friday

11. Exam Review Trig Concepts
Converting from Degrees to Radians and vice versa.
Solving trig equations with multiple answers.
Applied Story problems with angles of elevation and depression
Trig Identities
Law of Sine and Law of Cosines

12. Exam Review Polynomials General Sketches of polynomials.
State the roots of a polynomial given an equation.
Use the rational root theorem to find the zeroes of a polynomial.

13. Exam Review Rational Functions
Find vertical asymptotes, horizontal asymptotes, zeroes, and holes.
VA: Denominator = 0
HA: Degree of numerator vs. Denominator
Zeroes: Numerator = 0
Holes: Root in both the numerator and denominator.

14. Exam Review Exponentials and Logarithms
Solve equations involving exponential and logarithmic functions.
Simplify exponential expressions involving exponents.
𝐴= 𝐴 𝑟 𝑡
𝐴= 𝐴 0 𝑏 𝑡/𝑘

15. Exam Review Polar Coordinates
Convert from polar equations to rectangular.
𝑥=𝑟𝑐𝑜𝑠𝜃
𝑦=𝑟𝑠𝑖𝑛𝜃
Convert from rectangular to polar.
𝑟= 𝑥 2 + 𝑦 2
𝜃= tan −1 𝑦 𝑥

16. Exam Review Parametric Equations
Eliminate a parameter and put parametric equations into rectangular form.
Sequences and Series
Arithmetic, Geometric, or neither
Write a recursive equation for a given sequence.
Summation Notation
Find the sum of a finite or infinite series.

17. Exam Review Limits Evaluate limits algebraically.
State the limit at a certain point given the graph.
Right-hand limits
Left-hand limits