Chapter 13: Trigonometric and Circular Functions

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

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.
Trigonometric Ratios Triangles in Quadrant I. a Trig Ratio is … … a ratio of the lengths of two sides of a right Δ.
Trigonometry/Precalculus ( R )
Chapter 14 Day 5 Trig Functions of Any Angle.  We can also evaluate trig functions of an angle that contains a point that isn’t necessarily on the unit.
1 Right Triangle Trigonometry Pre-Calculus Day 38.
Chapter 3 Trigonometric Functions of Angles Section 3.2 Trigonometry of Right Triangles.
4.2 Trigonometric Function: The Unit circle. The Unit Circle A circle with radius of 1 Equation x 2 + y 2 = 1.
Honors Geometry Section 4.4 Isosceles Triangle Theorem
Right Triangle Trigonometry
Right Triangle Trigonometry Section 5.2. Right Triangle Recall that a triangle with a 90˚ is a right triangle.
Math III Accelerated Chapter 13 Trigonometric Ratios and Functions 1.
Odds and Even functions Evaluating trig functions Use a calculator to evaluate trig functions.
1 What you will learn  How to find the value of trigonometric ratios for acute angles of right triangles  More vocabulary than you can possibly stand!
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 Triangles Consider the following right triangle.
EXAMPLE 1 Evaluate trigonometric functions given a point Let (–4, 3) be a point on the terminal side of an angle θ in standard position. Evaluate the six.
Pythagorean Theorem Converse Special Triangles. Pythagorean Theorem What do you remember? Right Triangles Hypotenuse – longest side Legs – two shorter.
Radian Measure One radian is the measure of a central angle of a circle that intercepts an arc whose length equals a radius of the circle. What does that.
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.
Trig Functions – Part Pythagorean Theorem & Basic Trig Functions Reciprocal Identities & Special Values Practice Problems.
5.2 Trigonometric Ratios in Right Triangles. A triangle in which one angle is a right angle is called a right triangle. The side opposite the right angle.
Right Triangle Trigonometry
Do Now  .
Basic Trigonometry An Introduction.
Right Triangle Trigonometry
The Other Trigonometric Functions
Copyright © 2017, 2013, 2009 Pearson Education, Inc.
Warm Up Find the reciprocal of each integer:
The Unit Circle Today we will learn the Unit Circle and how to remember it.
Pre-Calc: 4.2: Trig functions: The unit circle
Evaluating Angles.
UNIT CIRCLE THE.
4.2 Trigonometric Function: The Unit circle
Warm Up #8.
Evaluating Trigonometric Functions
Do Now What does SOHCAHTOA represent written out fully?
TRIGONOMETRIC FUNCTIONS OF ANY ANGLE
Mrs. Volynskaya Pre-Calculus Chapter 4 Trigonometry
Worksheet Key 12/2/ :28 PM 13.3: The Unit Circle.
THE UNIT CIRCLE SECTION 4.2.
Warm – Up: 2/4 Convert from radians to degrees.
Trigonometric Functions
Trigonometric Function: The Unit circle
Trigonometric Functions: The Unit Circle (Section 4-2)
Right Triangle Ratios Chapter 6.
Chapter 2 Section 2.
4.2 Trigonometric Function: The Unit circle
Honors Geometry Section 4.4 Isosceles Triangle Theorem
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Right Triangle Ratios Chapter 6.
Section 1.2 Trigonometric Ratios.
Properties of Trig Fcts.
Trigonometric Functions:
2) Find one positive and one negative coterminal angle to
SOLVING RIGHT TRIANGLES
Trigonometric Functions
Trigonometric Functions: Unit Circle Approach
Trig. Ratios in a Coordinate System
Evaluating Angles.
Page ) Sin: –0.9511; Cos: –0.3090, Tan: Quadrant III 17)
Circular Trigonometric Functions.
Right Triangle Trigonometry
Introduction to Trigonometric Functions
Chapter 4 Congruent Triangles.
Analytic Trigonometry
5-3 The Unit Circle.
The Circular Functions (The Unit Circle)
Given A unit circle with radius = 1, center point at (0,0)
Presentation transcript:

Chapter 13: Trigonometric and Circular Functions Section 13-3: Definitions of Trigonometric and Circular Functions Chapter 13: Trigonometric and Circular Functions

Objectives Find exact values of the six trigonometric or circular functions if the angle is a multiple of 30º or 45º.

Recall: “SOHCAHTOA” stands for: What about the reciprocal functions? Sin= Cos= Tan= What about the reciprocal functions? Csc= Sec= Cot=

From Geometry :D The “Isosceles Right Triangle Theorem” says: The two legs of an isosceles right triangle are congruent. The hypotenuse of an isosceles right triangle is equal to:_________________ The “30-60-90 Triangle Theorem” says: The hypotenuse equals:______________ The long leg equals:________________

Quadrant Rules Remember: All Students Take Calculus!!!

HOMEWORK: p. 726 #13-75 Every other odd

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

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