Trig Graphs. y = sin x y = cos x y = tan x y = sin x + 2.

Slides:



Advertisements
Similar presentations
ET-314 Week 11 Nov 7, 2014 Topic(s): 19.1 Vectors.
Advertisements

Trigonometry Review Find sin(  /4) = cos(  /4) = tan(  /4) = Find sin(  /4) = cos(  /4) = tan(  /4) = csc(  /4) = sec(  /4) = cot(  /4) = csc(
1 Special Angle Values. 2 Directions A slide will appear showing a trig function with a special angle. Work out the answer Hit the down arrow to check.
Special Triangles: 45 o -45 o -90 o ° x x Example: 45° 7 7 x x.
1 Special Angle Values. 2 Directions A slide will appear showing a trig function with a special angle. Work out the answer Hit the down arrow to check.
1 Special Angle Values DEGREES. 2 Directions A slide will appear showing a trig function with a special angle. Say the value aloud before the computer.
Trig – Section 4 Graphing Sine and Cosine Objectives: To graph sine and cosine curves To find amplitude, period and phase shifts.
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.
Pg. 346/352 Homework Pg. 352 #6, 8 – 11, 15 – 17, 21, 22, 24, 27, 28, 30 – 32.
TRIGONOMETRY. Sign for sin , cos  and tan  Quadrant I 0° <  < 90° Quadrant II 90 ° <  < 180° Quadrant III 180° <  < 270° Quadrant IV 270 ° < 
Let’s Play What have you learned about Analytic Geometry?
Graph the function y = |4 cos x|
Find the period of the function y = 4 sin x
Trigonometric equations
Starter a 6 c A 53° 84° 1.Use Law of Sines to calculate side c of the triangle. 2.Use the Law of Cosines to calculate side a of the triangle. 3.Now find.
5.3 Solving Trigonometric Equations. What are two values of x between 0 and When Cos x = ½ x = arccos ½.
Homework: Graphs & Trig Equations 1.State the amplitude, period & then sketch the graph of (a) y = 3 cos 5x + 10 ≤ x ≤ 90 (b)y = ½ sin 2x0 ≤ x ≤ 360.
Jeopardy Trig fractions Solving For Angles Solving for Sides Other Trig Stuff $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.
EXAMPLE 1 Use an inverse tangent to find an angle measure
Inverses  How do we know if something has an inverse? ○ Vertical line tests tell us if something is a function ○ Horizontal line tests will tell us if.
This is the graph of y = sin xo
Trigonometric Equations Edited by Mr. Francis Hung Last Updated: 2013–03–12 1http:///
Solving Trigonometric Equations Involving Multiple Angles 6.3 JMerrill, 2009.
Sum and Difference Formulas New Identities. Cosine Formulas.
Trig Ratios SohCahToa Sine = Sin A = ___ Sin C = ___.
Trigonometric Equations Edited by Mr. Francis Hung Last Updated:
Basic Trigonometric Identities In this powerpoint, we will use trig identities to verify and prove equations.
Graphs of the Trig Functions Objective To use the graphs of the trigonometric functions.
4.7 Inverse Trig Functions. By the end of today, we will learn about….. Inverse Sine Function Inverse Cosine and Tangent Functions Composing Trigonometric.
GRAPHS of Trig. Functions. We will primarily use the sin, cos, and tan function when graphing. However, the graphs of the other functions sec, csc, and.
Chapter 4-4: Sin, Cos, and Tan Identities. Pythagorean Identity: Basic Equation of a Circle: Applying what we learned in 4-3: Correct Notation: Unit Circle.
Trig Review. 1.Sketch the graph of f(x) = e x. 2.Sketch the graph of g(x) = ln x.
3.7 Trig Equations Warm-up (IN) 1.Solve: 2.Find the exact value of: Learning Objective: to identify numerous solutions to trig equations, understand the.
Section 5.2 Right Triangle Trigonometry. Function Values for Some Special Angles.
6.3 Graphing Trig Functions
Solving Trig Equations Starter CStarter C Starter C SolutionsStarter C Solutions Starter DStarter D Starter D SolutionsStarter D Solutions.
Solving for (3 Ways). Examples Without using a calculator, what angle(s) would satisfy the equation ?
More Trig – Graphing Trig Functions
Trig Graphing. Setting up the Trig graph: x y Lets graph y=sin(x)
Section 1 – Trigonometry and the Graphing Calculator After this section, you should be able to show that you can: Know the SIX trig. functions Change degree-minutes.
Warm-Up Write the sin, cos, and tan of angle A. A BC
Understanding the Unit Circle
Periodic Function Review
#1 Find the quadrant in which lies.. #1 Find the quadrant in which lies.
(1) Sin, Cos or Tan? x 7 35 o S H O C H A T A O Answer: Tan You know the adjacent and want the opposite.
Simplify the following trigonometric expression as much as possible: cos B + sin B tan B Select the correct answer:
Important Angles.
Trig Ratios C 5 2 A M 4. If C = 20º, then cos C is equal to:
Graphing Trigonometric Functions Objective: To graph various trigonometric functions. VERTICAL DISPLACEMENT The graph of y = A sin(k  + c) + h is the.
Sin x = Solve for 0° ≤ x ≤ 720°
Pg. 384/408 Homework See later slide. #2V stretch 3, H stretch 2, V shift up 2, H shift left π #4V Stretch 2, H shrink ½, V shift up 1,H shift right π/2.
Unit Circle ( √3, 1 ) 2 2 ( 1, √3 ) 2 2 ( √2, √2 ) ˚ 45˚ 60˚
Inverse Trig Functions. If cos (x) = 0 then what is x?
6.1 – 6.5 Review!! Graph the following. State the important information. y = -3csc (2x) y = -cos (x + π/2) Solve for the following: sin x = 0.32 on [0,
4.3 Right Triangle Trigonometry Objective: In this lesson you will learn how to evaluate trigonometric functions of acute angles and how to use the fundamental.
ANSWERS. Using Trig in every day life. Check Homework.
Section 7-6 The Inverse Trigonometric Functions. Inverse Trig. Functions With the trigonometric functions, we start with an angle, θ, and use one or more.
EXAMPLE 1 Use an inverse tangent to find an angle measure Use a calculator to approximate the measure of A to the nearest tenth of a degree. SOLUTION Because.
Special Angle Values.
Sum and Difference Identities for the Sin Function
FLASH! Fredda Wyatt 01/2009.
Trig. equations with graphs
Warm-up: Find the exact values of the other 5 trigonometric functions given sin= 3 2 with 0 <  < 90 CW: Right Triangle Trig.
Rotated Conics WOW!!!.
sin x cos x tan x 360o 90o 180o 270o 360o 360o 180o 90o C A S T 0o
8.1 Graphical Solutions to Trig. Equations
Trig Graphs And equations Revision.
Trig Functions and Graphs
x x HW 13: Inverse Trig Functions HW 13: Inverse Trig Functions
Review for test Front side ( Side with name) : Odds only Back side: 1-17 odd, and 27.
Presentation transcript:

Trig Graphs

y = sin x

y = cos x

y = tan x

y = sin x + 2

y = sin x - 3

y = 2 sin x

y=.5 cos x

y = tan x - 2

y = sin (x – 90) or y = -cos x or y = cos (x + 180) or others

y = cos (x + 45) Other answers possible

y = sin (2x)

y = cos (3x)

y = tan (0.25 x)

y = cos (x + 60)

y = - 2 sin x

y = tan (x + 90)

y = 2 sin x + 1

y = 3 cos (2x)

y = sin (0.5x) - 2

y = 4 cos (0.25x)

y = 1.5 sin (3x)

y = -cos (0.5x)

y = sin (2x) + 3

tan (2x) - 1

y = 0.25cos x + 2

y = 2 sin ((1/3)x)