What are the amplitude, period, and translations of: y=2sin(2x-π)-3

Slides:

Advertisements

Similar presentations

4.7 Inverse Trig Functions. Does the Sine function have an inverse? 1.

Advertisements

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.

Find the exact values:. Inverse Trig Functions Inverse: “the angle whose (trig function) is x” Arcsin x or [-90° to 90°] Arccos x or [0° to 180°] Arctan.

INVERSE TRIGONOMETRIC FUNCTIONS CLASS XII

4.7 Inverse Trig Functions

Trigonometry-6 Finding Angles in Triangles. Trigonometry Find angles using a calculator Examples to find sin, cos and tan ratios of angles Examples to.

5-5 Solving Right Triangles. Find Sin Ѳ = 0 Find Cos Ѳ =.7.

Warm up Find the values of θ for which cot θ = 1 is true. Write the equation for a tangent function whose period is 4π, phase shift 0, and vertical shift.

 It must be one to one … pass the horizontal line test  Will a sine, cosine, or tangent function have an inverse?  Their inverses are defined over.

7.5 RIGHT TRIANGLES: INVERSE TRIGONOMETRIC FUNCTIONS Functions Modeling Change: A Preparation for Calculus, 4th Edition, 2011, Connally.

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.

Section 5.5 Inverse Trigonometric Functions & Their Graphs

4.7 Inverse Trigonometric Functions

Honors Geometry Sections 10.1 & 10.2 part 2 Solving Right Triangles.

Lesson 14.5 Right Triangle Trigonometry

SECTION 6-D Inverse Trig Derivatives. Inverse Trig functions.

Copyright © 2011 Pearson, Inc. 4.7 Inverse Trigonometric Functions.

Chapter 4 Trigonometric Functions Inverse Trigonometric Functions Objectives:  Evaluate inverse sine functions.  Evaluate other inverse trigonometric.

4.7 INVERSE TRIGONOMETRIC FUNCTIONS. For an inverse to exist the function MUST be one- to - one A function is one-to- one if for every x there is exactly.

4.7 Inverse Trig Functions

INVERSE TRIG FUNCTIONS. Inverse Functions Must pass the horizontal line test. Can be written sin -1 or arcsin, cos -1 or arccos, and tan -1 or arctan.

4.7 Inverse Trig Functions. By the end of today, we will learn about….. Inverse Sine Function Inverse Cosine and Tangent Functions Composing Trigonometric.

Inverse Trigonometric

Sin, Cos, Tan with a calculator  If you are finding the sin, cos, tan of an angle that is not a special case (30, 60, 45) you can use your calculator.

Section 4.7 Inverse Trigonometric Functions Pg

Lesson Inverse Trig Functions A DO NOW: If B is right angle, find the measure of angle C and angle A B C 7.

4.7 Inverse Trigonometric functions

Inverse Trigonometric Functions. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 HWQ Write a sine equation that has an amplitude.

Inverse Trigonometric Functions Digital Lesson. 2 Inverse Sine Function y x y = sin x Sin x has an inverse function on this interval. Recall that for.

Pg. 385 Homework Pg. 395#13 – 41 odd, Graph the three inverse trig functions and label the domain and range of each. Memorization quiz through inverse.

Solving for (3 Ways). Examples Without using a calculator, what angle(s) would satisfy the equation ?

8.1-Law of the Sines Law of the Sines & Requirements Examples Practice Problems.

Inverse Trigonometric Functions Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Inverse Sine Function y x y = sin.

February 6, 2012 At the end of today, you will be able to understand inverse trig functions. Warm-up: Trig Review without a calculator

Pg. 395 Homework Pg. 395#1 – 10 all Pg. 401#19 – 23 odd Pg. 407#9 Memorization quiz Thursday!! # °#157.13°# #191.17#21π/2#23π/4 #25-π/3#270.36#

Section Inverse Sine and Cosine. Lesson Objective: Students will: Graph the relations for inverse sine and cosine. Restrict the range for to make.

10.4: Inverses of Trigonometric Functions Algebra 2.

Inverse Trig Functions Tonight’s HW: 3.7 p.483, 5, 6, 13, 23, 25, 31.

ANSWERS. Using Trig in every day life. Check Homework.

February 13 th copyright2009merrydavidson. Inverse functions switch the x and y values. The inverse is NOT a function. y = arcsin x y = sin -1 x 4.7Inverse.

Inverse Trig Functions Vocabulary Inverse Cosine Function (cos -1 ) – The function y=cos -1 x = Arccos x, if and only if x = cos y and 0 ≤ y ≤ π Inverse.

3.5 Inverse Trigonometric Functions

Inverse Trigonometric Functions

Find the values of the six trigonometric functions for 300

Inverse Trig Functions

Inverse Trig Functions (part 2)

Inverse Trigonometric Functions

6.8 – Trig Inverses and their graphs

Section 4.7 Inverse Trigonometric Functions

Trig/Precalc Chapter 5.7 Inverse trig functions

Warm Up Let g(x) = {(1, 3), (2, 5), (4, 10), (-3, 7)}. What is g -1(x)? Write the inverse of the function: f(x) = 2x – 3 Determine whether the function.

Homework Questions.

Homework Log Fri 5/6 Lesson 8 – 7 Learning Objective:

8.7 Inverse Trig Functions

Inverse Trigonometric Functions

Inverse Trigonometric Functions.

Lesson 4.7 Inverse Trigonometric Functions

Derivatives of Inverse Trig Functions

Bell work: Find the missing side for the triangles below

Inverse Trigonometric Functions

Trigonometric Functions: The Unit Circle (Section 4-2)

Inverse Trig = Solve for the Angle

Evaluating Inverse Trig Expressions

5.8 Inverse Trig Functions and Differentiation

Principal Values of the Inverse Trig Functions

The Inverse Trig FCTNS Function: y = arcsin x y = arccos x

Warm-up Put the problems from the homework up on the board that you wish to review Textbook pages #5-23 ODD, 59 and 61.

Trigonometry for Angle

Inverse Trig Functions Rita Korsunsky.

Presentation transcript:

What are the amplitude, period, and translations of: y=2sin(2x-π)-3 Tuesday, October 19 What are the amplitude, period, and translations of: y=2sin(2x-π)-3

Lesson 4.7 Inverse Trigonometry

Every trig function has an inverse. These functions have a prefix of “arc” Such as Arcsine, arccosine, etc

If sin y = x, then y = arcsin x Inverse Sine Function If sin y = x, then y = arcsin x

On a calculator the arcsine is found by using sin-1 button

Evaluate on a calculator: Arcsin ½ Arctan 1 Arcsin (3/2) Arccos .22

More evaluating: Sin(arcsin 0.7) Sin(arctan 4/3)

So, what is the main purpose of inverse trig? Finding the measure of Θ (angle measures)

Classwork/ Homework: Pages 351-352 #9-15, 19-23, 27-45 (odd)