Bell work: Find the six trig functions for C in the triangle below

Slides:



Advertisements
Similar presentations
Section 5.3 Trigonometric Functions on the Unit Circle
Advertisements

Trigonometry/Precalculus ( R )
Section 4.3 The Unit Circle. (0, 1) (0, -1) (1, 0)(-1, 0) 0, 0˚ 2π, 360˚ π2π2, 90˚ π, 180˚ 3π 2, 270˚ Quadrantal Angles “All Students Take Calculus” tells.
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.
Trigonometry Day 3 Trig Functions of Any Angle Learning Target: 1.Given a point on the unit circle, I can find the six Trig ratios 2.Given one Trig ratio,
2.4 Trig Functions of General Angles Warm-up (IN) Learning Objective: To find all 6 trig functions of a resulting triangle given a point anywhere in the.
Trigonometric Functions on the
13.1 – Solving Right Triangles
Finding the Exact Value of Trigonometric Functions.
Trigonometric Functions of General Angles Section 3.4.
Definition of Trigonometric Functions With trigonometric ratios of acute angles in triangles, we are limited to angles between 0 and 90 degrees. We now.
7.3 Special Angles (45 & Quadrantal)
Chapter 3 Trigonometric Functions of Angles Section 3.3 Trigonometric Functions of Angles.
Section 5.3 Trigonometric Functions on the Unit Circle
3.5 The Trig Functions. sine cosine cosecant secant tangent cotangent sine and cosine are only 2 of the trig functions! Here are all 6!, x ≠ 0, y ≠ 0.
Warm Up Use Pythagorean theorem to solve for x
Chapter 14 Day 5 Trig Functions of Any Angle.  The of a circle is a portion of the of a circle. arc circumference.
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
Section 6.1 Notes Special Angles of the Unit Circle in degrees and radians.
3.6 Functions of Special & Quadrantal Angles. The key  DRAW THE ANGLE & TRIANGLE!! Quadrantal angle = angle with terminal side on x- or y-axis Ex 1)
7.2 Finding a Missing Side of a Triangle using Trigonometry
6.1 Laws of Sines. The Laws of Sine can be used with Oblique triangle Oblique triangle is a triangle that contains no right angle.
Section 1.4 Trigonometric Functions an ANY Angle Evaluate trig functions of any angle Use reference angles to evaluate trig functions.
Unit Circle Jeopardy! Hosted By: Miss Young.
1 Trig. Day 3 Special Right Triangles. 2 45°-45°-90° Special Right Triangle 45° Hypotenuse X X X Leg Example: 45° 5 cm.
4.7 – Square Roots and The Pythagorean Theorem Day 2.
4.4 – Trigonometric Functions of any angle. What can we infer?? *We remember that from circles anyway right??? So for any angle….
Halloween Unit Circle Warm-up! Your right arm is the initial side and your left arm is the terminal side. Ready? Let’s go! 360° ° -2π 2 π -270°
Pg. 323/361 Homework Pg. 362 #39 – 47 odd, 51, 52 Memorize Trig. Info #2QIV#4QIII#6QIII #8-250°#10470° #12338°, 698°, -382°, -742°#14210°, 570°, -510°,
Trig. Functions & the Unit Circle. Trigonometry & the Unit Circle VERY important Trig. Identity.
Pre-AP Pre-Calculus Chapter 4, Section 3 Trigonometry Extended: The Circular Functions
Chapter 4 Review. E.C.#1 Sketch and give two coterminal angles to: a. b.
Bell Ringer Right Triangles in the Unit Circle Tuesday, May 10, 2016.
Chapter 9 Trigonometric Functions Section 1 Trigonometric Functions Review (Part 1)
Bell Work R Find the 6 trig functions for
Unit Circle.
Ch. 4 – Trigonometric Functions
Section 4.3: Trigonometry Extended – The Circular Functions
Bell Ringer How many degrees is a radian?
Introduction to Trigonometric Functions
Warm Up Give radian measure for each: 90º b) 120º c) 135º
Trig Functions and Acute Angles
Help I’m trapped in a nutshell
Unit 7 – Right Triangle Trig
Bell Ringer How many degrees is a radian?
TRIGONOMETRIC FUNCTIONS OF ANY ANGLE
Section 4.2: Trigonometric Functions of Acute Angles
Solving for Exact Trigonometric Values Using the Unit Circle
Trigonometry Extended: The Circular Functions
Section 3 – Trig Functions on the Unit Circle
Jeopardy Decimal DMS Q $100 Q $100 Q $100 Q $100 Q $100 Q $200
Unit #6: Graphs and Inverses of Trig Functions
Objectives Students will learn how to use special right triangles to find the radian and degrees.
Chapter 7 – Special Right Triangles Review
Right Triangle Trigonometry
Bell Ringer What are the six trig functions?
Turn to Page S.89 Challenging Question
Section 2.2 Trig Ratios with Any Angle
Find the measures of the angles in each triangle. #1. #2. #3.
1.3 – Trigonometric Functions
Trigonometry Extended: The Circular Functions
Trig Functions of Any Angle
Bell Ringer If m∠1 = 125°, find the measure of each angle. You do not have to explain your reasoning for this Bell Ringer only
Find the measures of the angles in each triangle. #1. #2. #3.
Bell Ringer If m∠1 = 125°, find the measure of each angle. You do not have to explain your reasoning for this Bell Ringer only
5-3 The Unit Circle.
Solving for Exact Trigonometric Values Using the Unit Circle
Bell work: Turn in when completed
Given A unit circle with radius = 1, center point at (0,0)
Presentation transcript:

Bell work: Find the six trig functions for C in the triangle below Bell work: Find the six trig functions for C in the triangle below. Turn in when complete.

5.3: Trig Functions on the Unit Circle

The Unit Circle

Coordinates on the Unit Circle

Find the x and y coordinates for a line on the unit circle which makes a 47° angle

Find the six trig. Functions for the angle θ, if (2,0) is a point on the line

Find the six trig. Functions for the angle θ, if the following are a point on the line (-4, -3) (-6, 6) (1, -8) (5, 3)

If Cosθ=− 12 13 , and is in quadrant 3, find the values for the other 5 trig. functions

If Secθ= 3 , and is in quadrant 4, find the values for the other 5 trig. functions

Special Right Triangles

5.4: Applications of Trig Functions

Finding Missing Sides

Homework: Section 5.3, pages 296- 297: 14-24 Section 5.4, pages 301- 302: 1, 10-15, 27