13.4 & 13.5 The Sine & Cosine Functions Objectives: 1.To identify properties of the sine function....
-
Upload
curtis-jordan -
Category
Documents
-
view
219 -
download
2
Transcript of 13.4 & 13.5 The Sine & Cosine Functions Objectives: 1.To identify properties of the sine function....
13.4 & 13.5 The Sine & Cosine FunctionsObjectives:
1. To identify properties of the sine function.
2. To graph and write sine functions.
3. To graph and write cosine functions.
Sine Graph
Period: Amplitude:
Max: Min:
Domain: Range:
Cosine Graph
Period: Amplitude:
Max: Min:
Domain: Range:
Sine General Formula
𝑦=𝑎 sin𝑏𝜃Cosine General Formula
𝑦=𝑎 cos𝑏𝜃• Multiplying a number in front () changes
the amplitude.• amplitude
• Multiplying a number inside () changes the period.• To get new multiply by the reciprocal of
• period
Example 1: Graph
Example 2: Graph
1. Which musical based on Romeo & Juliet was a 60s Oscar winner?
Twister
Trivia…
2. What 1996 movie was hyped with the line: "It Will Blow Audiences Right Out of the Theater"?
West Side Story
3. What was Will Smith’s first acting job?
Fresh Prince of Belair
Example 3: Graph
Example 4: Graph
Homework: 13.4
P 738 – 739: 13, 15, 17, 18, 19, 23, 27-30 13.5
P 746 – 747: 1, 3, 5, 7, 13, 25, 27
13.6 The Tangent FunctionObjectives:
1. To graph the tangent function.
Tangent Graph
Period: Period:
Dotted Lines: Vertical Asymptotes
(where tangent is undefined)
One Cycle: Occurs between
Example 1: Given find:
a) Period:
b) Interval which cycle occurs:
c) Equation for vertical asymptote:
Example2: Sketch two cycles of the graph
Homework P 752: 11, 13, Graph &