Evaluating Inverse Trigonometric Functions

Slides:

Advertisements

Similar presentations

Trigonometric Identities

Advertisements

Trigonometry Right Angled Triangle. Hypotenuse [H]

Evaluating Sine & Cosine and and Tangent (Section 7.4)

Day 3 Notes. 1.4 Definition of the Trigonometric Functions OBJ:  Evaluate trigonometric expressions involving quadrantal angles OBJ:  Find the angle.

Trigonometric Equations Reminders i) Radians Converting between degrees and radians:

EXAMPLE 1 Evaluate inverse trigonometric functions Evaluate the expression in both radians and degrees. a.cos –1 3 2 √ SOLUTION a. When 0 θ π or 0° 180°,

Trigonometric equations

Copyright © 2009 Pearson Education, Inc. CHAPTER 7: Trigonometric Identities, Inverse Functions, and Equations 7.1Identities: Pythagorean and Sum and.

Unit Solving Right Triangles OBJ: SWBAT solve triangles using the six trigonometric ratios. HW: p 259 (29,33, 37, 41)

8.3 Solving Right Triangles

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

EXAMPLE 1 Finding Trigonometric Ratios For PQR, write the sine, cosine, and tangent ratios for P. SOLUTION For P, the length of the opposite side is 5.

Sine, Cosine and Tangent Ratios Objective Students will be able to use sine, cosine, and tangent ratios to determine side lengths in triangles.

Lesson 7-5 Right Triangle Trigonometry 1 Lesson 7-5 Right Triangle Trigonometry.

Trigonometric Equations Edited by Mr. Francis Hung Last Updated: 2013–03–12 1http:///

Term 3 : Unit 1 Trigonometry (Part B) Name : ____________ ( ) Class : ______ Date :________ 1.3 Simple Identities 1.4 Trigonometric Equations.

Copyright © 2005 Pearson Education, Inc.. Chapter 6 Inverse Circular Functions and Trigonometric Equations.

Sum and Difference Formulas New Identities. Cosine Formulas.

Write each fraction as a decimal rounded to the nearest hundredth.

Term 3 : Unit 1 Trigonometric Functions Name : ____________ ( ) Class : _____ Date : _____ 1.1 Trigonometric Ratios and General Angles 1.2 Trigonometric.

Section 6.4 Inverse Trigonometric Functions & Right Triangles

Trigonometric Equations Edited by Mr. Francis Hung Last Updated:

Section 13.6a The Unit Circle.

+X +Y +X +Y +X +Y slope of tangent = dy/dx. y a x y a x y a x.

TRIGONOMETRIC RATIOS Chapter 9.5. New Vocabulary  Trigonometric Ratio: The ratio of the lengths of two sides or a right triangle.  The three basic trigonometric.

13.7 I NVERSE T RIGONOMETRIC F UNCTIONS Algebra II w/ trig.

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

Set calculators to Degree mode.

Lesson 13.4, For use with pages cos 45º ANSWER 1 2 Evaluate the expression. 2. sin 5π 6 3.tan(– 60º) ANSWER – 3 ANSWER 2 2.

EXAMPLE 3 Standardized Test Practice SOLUTION In the right triangle, you are given the lengths of the side adjacent to θ and the hypotenuse, so use the.

Notes Over 6.3 Evaluating Trigonometric Functions Given a Point Use the given point on the terminal side of an angle θ in standard position. Then evaluate.

Right Triangles Consider the following right triangle.

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.

1 © 2011 Pearson Education, Inc. All rights reserved 1 © 2010 Pearson Education, Inc. All rights reserved © 2011 Pearson Education, Inc. All rights reserved.

Simple Trigonometric Equations The sine graph below illustrates that there are many solutions to the trigonometric equation sin x = 0.5.

1 What you will learn  How to solve trigonometric equations and inequalities.

The Right Triangle Right Triangle Pythagorean Theorem

Trigonometry Exact Value Memory Quiz A Trigonometry Exact Value Memory Quiz A.

Finding a Missing Angle of a Right Triangle. EXAMPLE #1  First: figure out what trig ratio to use in regards to the angle.  Opposite and Adjacent O,A.

Right Triangle Trig: Finding a Missing Angle. Finding an angle. (Figuring out which ratio to use and getting to use the 2 nd button and one of the trig.

Chapter 11 Trigonometric Functions 11.1 Trigonometric Ratios and General Angles 11.2 Trigonometric Ratios of Any Angles 11.3 Graphs of Sine, Cosine and.

Warm-Up 2/12 Evaluate – this is unit circle stuff, draw your triangle.

(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.

Chapter 13 Right Angle Trigonometry

A C M 5 2. CCGPS Geometry Day 17 ( ) UNIT QUESTION: What patterns can I find in right triangles? Standard: MCC9-12.G.SRT.6-8 Today’s Question: How.

Trig Ratios C 5 2 A M 4. If C = 20º, then cos C is equal to:

Lesson 43: Sine, Cosine, and Tangent, Inverse Functions.

The Trigonometric Functions SINE COSINE TANGENT. SINE Pronounced “sign”

Trigonometric Ratios In Trigonometry, the comparison is between sides of a triangle. Used to find a side of a right triangle given 1 side and 1 acute angle.

Trigonometry II Harder Exact Values and Simple Trig Equations. By Mr Porter.

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.

Section 4.4 Trigonometric Functions of Any Angle.

Trig Functions – Part Pythagorean Theorem & Basic Trig Functions Reciprocal Identities & Special Values Practice Problems.

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.

 Find the value of the other five trigonometric functions.

Trigonometric Function: The Unit circle Trigonometric Function: The Unit circle SHS Spring 2014.

Trigonometric Function: The Unit circle. The Unit Circle A circle with radius of 1 Equation x 2 + y 2 = 1.

Trigonometry Section 7.6 Apply inverse trigonometry functions

Solving Right Triangles

Trigonometric Ratios 8.2.

Warm Up(You need a Calculator!!!!!)

Angles of Elevation and Depression

Trigonometric Function: The Unit circle

Right Triangle Trigonometry

Trigonometric Equations with Multiple Angles

Double- And Half-Angle Formulas

Trigonometric Functions

Finding a missing angle with inverse trigonometric functions

Review these 1.) cos-1 √3/ ) sin-1-√2/2 3.) tan -1 -√ ) cos-1 -1/2

Trigonometric Ratios Geometry.

Presentation transcript:

Evaluating Inverse Trigonometric Functions Notes Over 13 - 4 Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is sin a = 4th Quadrant

Evaluating Inverse Trigonometric Functions Notes Over 13 - 4 Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is tan a = 1 1st Quadrant

Evaluating Inverse Trigonometric Functions Notes Over 13 - 4 Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is tan a = 4th Quadrant

Evaluating Inverse Trigonometric Functions Notes Over 13 - 4 Evaluating Inverse Trigonometric Functions Evaluate the expression in both radians and degrees. Where is cos a = 2nd Quadrant

Finding an Angle Measure Notes Over 13 - 4 Finding an Angle Measure Find the measure of the angle θ in both radians and degrees. Round to three significant digits. adjacent opposite

Finding an Angle Measure Notes Over 13 - 4 Finding an Angle Measure Find the measure of the angle θ in both radians and degrees. Round to three significant digits. hypotenuse adjacent

Finding an Angle Measure Notes Over 13 - 4 Finding an Angle Measure Find the measure of the angle θ in both radians and degrees. Round to three significant digits. opposite hypotenuse

Solving a Trigonometric Equation Notes Over 13 - 4 Solving a Trigonometric Equation Solve the equation for θ. Round to three significant digits.

Solving a Trigonometric Equation Notes Over 13 - 4 Solving a Trigonometric Equation Solve the equation for θ. Round to three significant digits.

Solving a Trigonometric Equation Notes Over 13 - 4 Solving a Trigonometric Equation Solve the equation for θ. Round to three significant digits.

Solving a Trigonometric Equation Notes Over 13 - 4 Solving a Trigonometric Equation Solve the equation for θ. Round to three significant digits.

Notes Over 13 - 4