100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 300 400 500 200 Acute Ratios Reference Angles Exact.

Slides:



Advertisements
Similar presentations
Radius- Is the edge to the middle of the circle. Diameter- It goes throw the whole center of the circle.
Advertisements

Evaluating Sine & Cosine and and Tangent (Section 7.4)
FUNDAMENTALS OF ALGEBRA 2A CHAPTER 10 POWERPOINT PRESENTATION TRIGONOMETRY TRIGONOMETRY.
Objective: Convert between degrees and radians. Draw angles in standard form. Warm up Fill in the blanks. An angle is formed by two_____________ that have.
Review of Trigonometry
Vocabulary: Initial side & terminal side: Terminal side Terminal side
Radian Measure That was easy
What Is A Radian? 1 radian = the arc length of the radius of the circle.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 4-2) Then/Now New Vocabulary Key Concept: Trigonometric Functions of Any Angle Example 1: Evaluate.
Properties of the Trigonometric Functions. Domain and Range Remember: Remember:
Chapter 5 Review. 1.) If there is an angle in standard position of the measure given, in which quadrant does the terminal side lie? Quad III Quad IV Quad.
Geometry Section 10.4 Angles Formed by Secants and Tangents
Trigonometric Functions on Any Angle Section 4.4.
UNIT CIRCLE. Review: Unit Circle – a circle drawn around the origin, with radius 1.
Secants, Tangents, and Angle Measures
4.1: Radian and Degree Measure Objectives: To use radian measure of an angle To convert angle measures back and forth between radians and degrees To find.
Finding Exact Values of Trig Ratios. Special Right Triangles
5.1 Angles and Radian Measure. ANGLES Ray – only one endpoint Angle – formed by two rays with a common endpoint Vertex – the common endpoint of an angle’s.
1 Trigonometric Functions of Any Angle & Polar Coordinates Sections 8.1, 8.2, 8.3,
Trigonometric Functions of Any Angle & Polar Coordinates
Copyright  2011 Pearson Canada Inc. Trigonometry T - 1.
Chapter 13 Section 3 Radian Measure.
Arcs and Angles Continued
Section 7.2 Trigonometric Functions of Acute Angles.
Warm Up Use Pythagorean theorem to solve for x
1 A unit circle has its center at the origin and a radius of 1 unit. 3.3 Definition III: Circular Functions.
Section 13.6a The Unit Circle.
Warm-Up Find the following. 1.) sin 30 ◦ 2.) cos 270 ◦ 3.) cos 135 ◦
Ch 4 Trig Functions. 4.1 Radian and Degree Measures Converting from Radians to Degrees Converting from Degrees to Radians.
Aim: How do we define radians and develop the formula Do Now: 1. The radius of a circle is 1. Find, in terms of the circumference. 2. What units do we.
Trigonometric Ratios in the Unit Circle 6 December 2010.
5.3 Properties of the Trigonometric Function. (0, 1) (-1, 0) (0, -1) (1, 0) y x P = (a, b)
Chapter 4 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Trigonometric Functions: The Unit Circle.
14.2 The Circular Functions
CHAPTER 8 Right Triangle Trigonometry. 5 Videos to Watch 1) pythagorean-theoremhttp://
1 Section T1- Angles and Their Measure In this section, we will study the following topics: Terminology used to describe angles Degree measure of an angle.
4.4 Trigonmetric functions of Any Angle. Objective Evaluate trigonometric functions of any angle Use reference angles to evaluate trig functions.
7.1 Angles and Their Measure
How do we convert angle measures between degrees and radians?
Chapter 5 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Angles and Radian Measure.
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.
Vocabulary Origin & Quadrants Vertex Right, Acute, & Obtuse Complementary & Supplementary Central & Inscribed Angles Arc.
Angles and their Measures Essential question – What is the vocabulary we will need for trigonometry?
Unit Circle The values for sine and cosine create a nice pattern. If we let cos θ be the x value and sin θ be the y value, the plot looks like an arc.
Lesson 7-1 Objective: To learn the foundations of trigonometry.
8-3 Trigonometry Part 2: Inverse Trigonometric Functions.
Chapter 4 Vocabulary. Section 4.1 vocabulary An angle is determined by a rotating ray (half-line) about its endpoint.
Holt McDougal Algebra The Unit Circle Toolbox p. 947(1-34) 13.3a 13.3b radian degrees unit circle.
Trigonometry What is trigonometry? Trigonometry (from the Greek trigonon = three angles and metro = measure [1]) is a branch of mathematics dealing with.
Chapter 5 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Trigonometric Functions of Real Numbers; Periodic Functions.
More Trig - Radian Measure and Arc Length Warm-up Learning Objective: To convert from degree measure to radian measure and vice versa and to find arc length.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Drawing Angles in Standard Position
A Great Tool to Use in Finding the Sine and Cosine of Certain Angles
Section 4.2 The Unit Circle.
Trigonometric Functions: The Unit Circle
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Chapter 1 Angles and The Trigonometric Functions
Section 1.7 Inverse Trigonometric Functions
8-1: The Pythagorean Theorem and its Converse
Objectives: Students will learn how to find Cos, Sin & Tan using the special right triangles.
Splash Screen.
Trigonometry Review.
Trigonometric Functions
5.3 Properties of the Trigonometric Function
4.4 Trig Functions of any Angle
Arc Length Area of a Sector Unit Circle Trig values of unit circle
Preparing for the SAT II
Trigonometric Functions: Unit Circle Approach
Double-Angle, Half-Angle Formulas
Presentation transcript:

Acute Ratios Reference Angles Exact Values of Ratios What Quadrant? Vocabulary Identities

100

200

300

400

500

100

200

300

400

500

100

200

300

400

500

100 What is quadrant I?

200 What is quadrant IV?

300 What is quadrant III?

400 What is quadrant III?

500 What is quadrant III?

100 What are complements?

200 What is an obtuse angle?

300 An angle that measures from the horizontal downward to an object What is angle of depression?

400 What is a degree?

500 Measure of a central angle that intercepts an arc equal to the radius of the circle What is a radian?

100

200 What is the quotient identity involving tangent?

300

400 Pythagorean identity involving sine and cosine.

500 Pythagorean identity involving secant and tangent.