Writing Trig Functions

Slides:



Advertisements
Similar presentations
4.5 – Graphs of the other Trigonometric Functions Tangent and Cotangent.
Advertisements

Inverse Trigonometric Functions
Warm-up Graph the following and find the amplitude, period, increment, S.A., starting point, domain and range. Y = -2sin(2x + 4π) – 1.
6.5 & 6.7 Notes Writing equations of trigonometric functions given the transformations.
Notes Over 6.4 Graph Sine, Cosine Functions Notes Over 6.4 Graph Sine, Cosine, and Tangent Functions Equation of a Sine Function Amplitude Period Complete.
Trig – Section 4 Graphing Sine and Cosine Objectives: To graph sine and cosine curves To find amplitude, period and phase shifts.
Graphing Sine and Cosine. Graphing Calculator Mode— Radians Par Simul Window— –X min = -1 –X max = 2  –X scale =  /2 Window— –Y min = -3 –Y max = 3.
Unit 5 – Graphs of the other Trigonometric Functions Tangent and Cotangent MM4A3. Students will investigate and use the graphs of the six trigonometric.
Aim: What is the transformation of trig functions? Do Now: HW: Handout Graph: y = 2 sin x and y = 2 sin x + 1, 0 ≤ x ≤ 2π on the same set of axes.
Trigonometric Functions on Any Angle Section 4.4.
Inverse Hyperbolic Functions. The Inverse Hyperbolic Sine, Inverse Hyperbolic Cosine & Inverse Hyperbolic Tangent.
Graphs of the Other Trigonometric Functions Section 4.6.
Graphing Trigonometric Functions Objectives: 1.Graph trig functions 2.Find the amplitude and period of variation of the sine, cosine and tangent functions.
Inverse Trigonometric Functions The definitions of the inverse functions for secant, cosecant, and cotangent will be similar to the development for the.
Graphs of the Sine and Cosine Functions Section 6.
Using Transformations to Graph the Sine and Cosine Curves The following examples will demonstrate a quick method for graphing transformations of.
Applications of Vectors. Definition: Resultant: The result of two vectors acting on a point at the same time. Equilibrant: The opposite vector of the.
4.1 Graphs of Sine and Cosine OBJ: Graph sine and cosine.
4.3 Period Changes and Graphs other Trig Functions
3.5 – Derivative of Trigonometric Functions
Warm-up:. Homework: 7.5: graph secant, cosecant, tangent, and cotangent functions from equations (6-7) In this section we will answer… What about the.
Page 309 – Amplitude, Period and Phase Shift Objective To find the amplitude, period and phase shift for a trigonometric function To write equations of.
CHAPTER 4 – LESSON 1 How do you graph sine and cosine by unwrapping the unit circle?
20 Days. Three days  Graphing Sine and Cosine WS.
14.1, 14.2 (PC 4.5 & 4.6): Graphing Trig Functions HW: p.912 (3-5 all) HW tomorrow: p.913 (6, 10, 16, 18), p.919 (12-16 even) Quiz 14.1, 14.2: Tuesday,
Graphs of the Trig Functions Objective To use the graphs of the trigonometric functions.
Section 3.1 – The Inverse Sine, Cosine and Tangent Functions Continued.
4.5 and 4.6 Graphs of Trig Functions Obj: to identify amplitude and period of trig functions and translate them.
Do Now:. 4.5 and 4.6: Graphing Trig Functions Function table: When you first started graphing linear functions you may recall having used the following.
Periodic Function Review
Graphing Trig Functions Review Whiteboard Activity.
Writing Equations of Trigonometric Graphs Dr. Shildneck Fall.
Graphing Primary and Reciprocal Trig Functions MHF4UI Monday November 12 th, 2012.
Graphing the Other Trigonometric Functions DR. SHILDNECK FALL.
12.7 Graphing Trigonometric Functions Day 1: Sine and Cosine.
Graphing Trigonometric Functions Chapter 4. The sine and cosine curves Graph y = sinx.
7.9 Graph of Tangent Function
Sine & Cosine Tangent & Cotangent Secant & Cosecant.
Notes Over 14.1 Graph Sine, Cosine, and Tangent Functions.
Warm up If the graph above is y = sinx. Write a functions of each graph.
Precalculus Honors February 9 th Students will complete their daily warm-up problems. Answer questions from previous night’s homework (page 533, numbers.
Pre-Calculus Honors 4.5, 4.6, 4.7: Graphing Trig Functions
Find the exact values:.
2.7 Sinusoidal Graphs; Curve Fitting
Writing Equations of Trigonometric Graphs
Objective: Graphs of sine and cosine functions with translations.
Trigonometry Review.
TRIGONOMETRIC GRAPHS.
Basic Identities Trigonometric Identities Section 3.1
Notes Over 6.4 Graph Sine, Cosine Functions.
The Inverse Sine, Cosine and Tangent Function
Bell Ringer What are the angles 0°, 90°, 180°, 270°, and 360° called? 2. Which functions are positive in a) quadrant I, b) quadrant II,
Graphing Trigonometric Functions
Trig Function Review.
Frequency and Phase Shifts
4.5 Basic Sine/Cosine Graphs
How do we recognize and graph periodic and trigonometric functions?
Lake Zurich High School
Graphs of Secant, Cosecant, and Cotangent
Trig Function Review.
4.2 – Translations of the Graphs of the Sine and Cosine Functions
Arc Length Area of a Sector Unit Circle Trig values of unit circle
Frequency and Phase Shifts
Graphs of Sine and Cosine: Sinusoids
7.3: Amplitude and Vertical Shifts
Section 4.5 Graphs of Sine and Cosine Functions
WArmup Rewrite 240° in radians..
Warm-up: For the following equation, give the required values and graph. For the shifts, give direction as well as units of translation. If there is.
pencil, highlighter, calculator, notebook, assignment
What is the radian equivalent?
Presentation transcript:

Writing Trig Functions

Steps to Follow: Decide the type of function Pick a starting point Identify amplitude, period, and phase shift Write function with correct a, b, c, d, e

Write the sine function

Write the cosine function

Write the sine function

Write the cotangent function

Write a sine function with the given information Amp: 5 Period: 4𝜋 P.S: 𝜋 2 V.S: none

Write a sine function Amp: 1 2 Period: 2𝜋 P.S: -𝜋 V.S: 4

Write a cosine function Amp: 1 Period: 3𝜋 P.S: −𝜋 V.S: -3

Write a tangent function Pd: 2𝜋 P.S: − 𝜋 4