Computing the Values of Trigonometric Functions of Acute Angles Section 3.3.

Slides:



Advertisements
Similar presentations
Evaluating Sine & Cosine and and Tangent (Section 7.4)
Advertisements

Sullivan Precalculus: Section 5.2 Trig Functions: Unit Circle
Solving Right Triangles Given certain measures in a right triangle, we often want to find the other angle and side measures. This is called solving the.
1 7.3 Evaluating Trig Functions of Acute Angles In this section, we will study the following topics: Evaluating trig functions of acute angles using right.
Calculators and Trigonometric Functions of an Acute Angle Trigonometry MATH 103 S. Rook.
8.3 Solving Right Triangles
4.3 Right Triangle Trigonometry
SPECIAL USING TRIANGLES Computing the Values of Trig Functions of Acute Angles.
8-2 Trigonometric Ratios Holt Geometry.
Section 6.4 Inverse Trigonometric Functions & Right Triangles
13.2 – Define General Angles and Use Radian Measure.
TOP 10 Missed Mid-Unit Quiz Questions. Use the given function values and trigonometric identities to find the indicated trig functions. Cot and Cos 1.Csc.
1 © 2010 Pearson Education, Inc. All rights reserved © 2010 Pearson Education, Inc. All rights reserved Chapter 4 Trigonometric Functions.
2.3 Computing the Values of Trig Functions of Acute Angles Warm-up (IN) Learning Objective: To compute values of common trig expressions, both by hand.
Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.
Warm- Up 1. Find the sine, cosine and tangent of  A. 2. Find x. 12 x 51° A.
13-3 Radian Measure Today’s Objective: I can measure an angle in radians.
Right Triangle Trigonometry
Section 6.1 Notes Special Angles of the Unit Circle in degrees and radians.
Section 13.1.b Solving Triangles. 7.) Find the angle Ɵ if cos Ɵ = (Read as “the angle whose cos is:___”) Be sure you know the mode your calculator.
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.
Finding Trigonometric Function Values using a Calculator Objective: Evaluate trigonometric functions using a calculator.
Unit 1 – Degrees Decimals and Degrees, Minutes, Seconds (DMS) Conversions, and Unit Conversions -You will be able to convert from degrees decimals to degrees,
Warm up. Review for chapter test Chapter 4 Understanding Trigonometric Functions Language Objectives: We will learn more about trigonometric functions.
Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Lesson 9.3 Evaluate Trigonometric Functions of Any Angle Warm-Up Standard Accessed: Students.
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.
Point P(x, y) is the point on the terminal arm of angle ,an angle in standard position, that intersects a circle. P(x, y) x y r  r 2 = x 2 + y 2 r =
To access the angle features, you need the angle button…
Everything you need to know , 5.5, 5.6 Review.
4.2 Trig Functions of Acute Angles. Trig Functions Adjacent Opposite Hypotenuse A B C Sine (θ) = sin = Cosine (θ ) = cos = Tangent (θ) = tan = Cosecant.
MATH 110 UNIT 1 – TRIGONOMETRY Part A. Activity 7 – Find Missing Sides To find an unknown side on a triangle, set up our trigonometric ratios and use.
Write each fraction as a decimal rounded to the nearest hundredth Solve each equation x = 7.25x = 7.99.
8-3 Trigonometry Part 2: Inverse Trigonometric Functions.
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.
Trigonometric Functions: Unit Circle Approach
Trigonometry Section 7.4 Find the sine and cosine of special angles. Consider the angles 20 o and 160 o Note: sin 20 o = sin160 o and cos 20 o = -cos 160.
Section 8.2 The Inverse Trigonometric Functions (Continued) Copyright © 2013 Pearson Education, Inc. All rights reserved.
 Find the value of the other five trigonometric functions.
 Solve the triangle CA B a b c.  Unit Circle Quiz  Trig Values Quiz  These will be important again in Chapter 5.
Trigonometric Function: The Unit circle Trigonometric Function: The Unit circle SHS Spring 2014.
Section 3-4 Radian Measures of Angles. Definition: Radian Measure of an Angle.
Holt Geometry 8-2 Trigonometric Ratios 8-2 Trigonometric Ratios Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.
Trigonometric Functions: The Unit Circle
Objectives Find the sine, cosine, and tangent of an acute angle.
Objectives Find the sine, cosine, and tangent of an acute angle.
8-2 Trigonometric Ratios Warm Up Lesson Presentation Lesson Quiz
Solving Right Triangles
1.4 Trigonometric Functions of Any Angle
Objectives Find the sine, cosine, and tangent of an acute angle.
Write each fraction as a decimal rounded to the nearest hundredth.
Reference Angles & Unit Circle
Trig Functions and Acute Angles
Things to Remember! , 5.5, 5.6 Review.
Right Triangle Trigonometry (Section 4-3)
Evaluating Trigonometric Functions
9.5 The Sine & Cosine Ratios
Objectives Find the sine, cosine, and tangent of an acute angle.
Lesson 7.7, For use with pages
Warm – Up: 2/4 Convert from radians to degrees.
Write each fraction as a decimal rounded to the nearest hundredth.
Trigonometric Functions of Any Angle (Section 4-4)
Chapter 2 Section 2.
Inverse Trigonometric Functions (Section 4-7)
9.5 The Sine & Cosine Ratios
Trigonometric Functions:
Warm Up 30°±
( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , )
Geometry Section 7.7.
Right Triangles and Trigonometry
Solving for Exact Trigonometric Values Using the Unit Circle
Presentation transcript:

Computing the Values of Trigonometric Functions of Acute Angles Section 3.3

Objectives Find the exact values of the trigonometric functions of π/4 (45°). Find the exact values of the trigonometric functions of π/6 (30°) and π/3 (60°). Use a calculator to approximate the values of the trigonometric functions of acute angles. Model and solve applied problems involving right triangles.

Using a Calculator Make sure that the calculator is set in the correct mode. –When working with triangles, the calculator should be set to degrees. –When working with circles, the calculator should be set to radians. Round the values to the indicated number of decimal places.

Page 149 #51

Page 150 #59

Page 151 #61

Page 151 #69

Pages (12-46 even, 52, 56, 60, 64, 68, 72, 76, 77)