Section 5.2 Right Triangle Trigonometry. Function Values for Some Special Angles.

Slides:



Advertisements
Similar presentations
The Inverse Trigonometric Functions Section 4.2. Objectives Find the exact value of expressions involving the inverse sine, cosine, and tangent functions.
Advertisements

Trig Graphs. y = sin x y = cos x y = tan x y = sin x + 2.
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 7.2 Right Triangle Trigonometry In this section, we will study the following topics: Evaluating trig functions of acute angles using right triangles.
4.1 – Right Triangle Trigonometry. Sin Ɵ = opp hyp.
Section 5.3 Trigonometric Functions on the Unit Circle
Day 3 Notes. 1.4 Definition of the Trigonometric Functions OBJ:  Evaluate trigonometric expressions involving quadrantal angles OBJ:  Find the angle.
1.5 Using the Definitions of the Trigonometric Functions OBJ: Give the signs of the six trigonometric functions for a given angle OBJ: Identify the quadrant.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 6.3 Properties of the Trigonometric Functions.
Trigonometry/Precalculus ( R )
Trigonometric equations
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 7.2 Right Triangle Trigonometry.
Copyright © Cengage Learning. All rights reserved. CHAPTER Right Triangle Trigonometry Right Triangle Trigonometry 2.
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.
Chapter 3 Trigonometric Functions of Angles Section 3.2 Trigonometry of Right Triangles.
Section 5.3 Trigonometric Functions on the Unit Circle
Geometry Notes Lesson 5.3A – Trigonometry T.2.G.6 Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles.
Sec 6.2 Trigonometry of Right Triangles
Right Triangle Trigonometry
Right Triangle Trigonometry
Trigonometry Review Game. Do not use a calculator on any of these questions until specified otherwise.
6.2: Right angle trigonometry
Bell Work Find all coterminal angles with 125° Find a positive and a negative coterminal angle with 315°. Give the reference angle for 212°.
Math III Accelerated Chapter 13 Trigonometric Ratios and Functions 1.
Sec 6.2 Trigonometry of Right Triangles Objectives: To define and use the six trigonometric functions as ratios of sides of right triangles. To review.
Warm-up. Agenda Homework Review Section 8-3 Trigonometry Homework 8-3 Study Guide Lesson 8-3, Page 778 Hand in Radical Extra Credit worksheet.
Copyright © Cengage Learning. All rights reserved. CHAPTER Right Triangle Trigonometry Right Triangle Trigonometry 2.
Tuesday 3/24. Warm Up Determine the six trigonometric ratios for the following triangle: y r x θ sin θ =csc θ = cos θ =sec θ = tan θ =cot θ = What if.
Basic Trigonometric Identities In this powerpoint, we will use trig identities to verify and prove equations.
Do Now: Graph the equation: X 2 + y 2 = 1 Draw and label the special right triangles What happens when the hypotenuse of each triangle equals 1?
Chapter 4 Trigonometric Functions Trig Functions of Any Angle Objectives:  Evaluate trigonometric functions of any angle.  Use reference angles.
5.2 Trigonometric Ratios in Right Triangles
_______º _______ rad _______º ________ rad ­­­­ _______º _______ rad _______º _______ rad ­­­­ _______º _______ rad ______º _______ rad Unit Circle use.
Section 5.3 Evaluating Trigonometric Functions
Section 1.4 Trigonometric Functions an ANY Angle Evaluate trig functions of any angle Use reference angles to evaluate trig functions.
Right Triangle Trigonometry
Knight’s Charge: Precalculus 41 Right Triangle Trigonometry 1.
1 7.2 Right Triangle Trigonometry In this section, we will study the following topics: Evaluating trig functions of acute angles using right triangles.
Warm-Up Write the sin, cos, and tan of angle A. A BC
Quiz 36 Application Problem #1 1. Convert from revolutions into radians 2. Write the Equation and fill in information 3. Convert from ft/sec to mi/hr 4.
Section 13.1.a Trigonometry. The word trigonometry is derived from the Greek Words- trigon meaning triangle and Metra meaning measurement A B C a b c.
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.
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,
Trigonometry Section 8.4 Simplify trigonometric expressions Reciprocal Relationships sin Θ = cos Θ = tan Θ = csc Θ = sec Θ = cot Θ = Ratio Relationships.
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.
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 4.4 Trigonometric Functions of Any Angle.
Trig Functions – Part Pythagorean Theorem & Basic Trig Functions Reciprocal Identities & Special Values Practice Problems.
13.1 Right Triangle Trigonometry ©2002 by R. Villar All Rights Reserved.
A. sin 30ºb. cos 30ºc. tan 30º d. sin 60ºe. cos 60ºf. tan 60º g. sin 45ºh. cos 45ºi. tan 45º COPY THE TRIANGLES AT RIGHT ONTO YOUR PAPER AND LABEL.
13.1 Right Triangle Trigonometry. Definition  A right triangle with acute angle θ, has three sides referenced by angle θ. These sides are opposite θ,
The Unit Circle and Circular Functions Trigonometry Section 3.3.
Right Triangle Trigonometry
Warm Up #8.
Trigonometric Functions of Acute Angles
Trigonometric Functions
Section 4.3 Right Trigonometry
Right Triangle Ratios Chapter 6.
Warm-up: Find the exact values of the other 5 trigonometric functions given sin= 3 2 with 0 <  < 90 CW: Right Triangle Trig.
Right Triangle Ratios Chapter 6.
Right Triangle Trigonometry
Trigonometric Functions
12.3 Day 1 Notes Trigonometric Functions of General Angles
1.3 – Trigonometric Functions
Sec 6.2 Trigonometry of Right Triangles
Right Triangles and Trigonometry
Analytic Trigonometry
Given A unit circle with radius = 1, center point at (0,0)
Presentation transcript:

Section 5.2 Right Triangle Trigonometry

Function Values for Some Special Angles

Example

&

Right Triangle Definitions of Trigonometric Functions

Oscar Has A Heap Of Apples

Trigonometry values for a given angle are always the same no matter how large the triangle is

Example

Find the exact values of the 6 trig functions for the following…

Find the other 5 trig functions if…

Find… –cos60 ° –csc30 ° –tan60 °

Find the other 5 trig functions if…

Find… sin45° cos30° tan30°

Trigonometric Functions and Complements

Example

Applications

Example

(a) (b) (c) (d)

(a) (b) (c) (d)

Exit Slip 1) Find the six trig functions of the angle…

Find the… 2) tanθ3)cos θ

Find the six trig functions if… 4) cos θ 5)sin θ

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.