Trigonometric Functions

Slides:

Advertisements

Similar presentations

Special Triangles: 45 o -45 o -90 o ° x x Example: 45° 7 7 x x.

Advertisements

Solving Trigonometric Equations. First Degree Trigonometric Equations: These are equations where there is one kind of trig function in the equation and.

Solving Trigonometric Equations Involving Multiple Angles 6.3 JMerrill, 2009.

Tips For Learning Trig Rules. Reciprocal Rules Learn:

Warm Up Sign Up. AccPreCalc Lesson 27 Essential Question: How are trigonometric equations solved? Standards: Prove and apply trigonometric identities.

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.

Evaluating Trigonometric Functions (Precalculus Review 3) September 10th, 2015.

Quiz 4-5 Describe how tan(x) is transformed to graph: -tan(2x)

Solving Trig Equations Starter CStarter C Starter C SolutionsStarter C Solutions Starter DStarter D Starter D SolutionsStarter D Solutions.

Warm Up May 8 th Evaluate each of the following. 1.tan(570°)2. csc(11π/6) 3.cot(5π/2)4. sec(-210°) Solve for θ if 0°

A Review of Trigonometric Functions

Warm-Up Write the sin, cos, and tan of angle A. A BC

BELL-WORK TCAP Bell-Work # What is the cotangent of angle x if sec(x) = 12 5.

Clicker Question 1 What is  x sin(3x) dx ? – A. (1/3)cos(3x) + C – B. (-1/3)x cos(3x) + (1/9)sin(3x) + C – C. -x cos(3x) + sin(3x) + C – D. -3x cos(3x)

sinx + circle 90 o 180 o  0o0o 270 o 1 The Trigonometric Ratios for any angle

Jeopardy Simplify Trig expressions Verify Trig Identities Find all Solutions Solutions with multiple angles Solutions with factoring Q $100 Q $200 Q $300.

Objective: Use unit circle to define trigonometric functions. Even and odd trig functions. Warm up 1.Find and. 2.Give the center and radius of a circle.

Trigonometric Function: The Unit circle Trigonometric Function: The Unit circle SHS Spring 2014.

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.

Chapter 10 – Trigonometric (Functions) Q1

Review of radian measure.

MATH 1330 Section 6.3.

MATH 1330 Section 6.3.

Pre-Calc: 4.2: Trig functions: The unit circle

Finding sin, cos, and tan.

4.2 Trigonometric Function: The Unit circle

Ch. 5 – Analytic Trigonometry

Graphs of Trigonometric Functions

Bell Ringer How many degrees is a radian?

Solving Trigonometric Equations

Trigonometric Function: The Unit circle

Sum and Difference Identities for the Sin Function

MATH 1330 Section 5.1.

1 step solns A Home End 1) Solve Sin(x) = 0.24

Transforming Trigonometric Graphs

Transformations on Trigonometric Graphs

Basic Trigonometric Identities and Equations

Trigonometric Functions of Acute Angles

Trigonometric Equations with Multiple Angles

TRIGONOMETRIC GRAPHS.

Warm-up: 1) Given sin = ½ and and csc  > 0 can you find the angle measure  definitively? Given cosx = − And sinx < 0 find the other five trigonometric.

18. More Solving Equations

1 step solns A Home End 1) Solve Sin x = 0.24

Pythagorean Identities

One way to use identities is to simplify expressions involving trigonometric functions. Often a good strategy for doing this is to write all trig functions.

Pyrhagorean Identities

Last time… Homework questions?.

Trigonometric Function: The Unit circle

Trigonometric Graphs L.O.

Clicker Question 1 What is x sin(3x) dx ? A. (1/3)cos(3x) + C

Unit 7B Review.

Solving Trigonometric Equations

Basic Trigonometric Identities and Equations

8.3 Trigonometry By Brit Caswell.

Examples Double Angle Formulas

MATH 1330 Section 6.3.

3 step problems Home End 1) Solve 2Sin(x + 25) = 1.5

All pupils can read off the base trigonometric graphs

Half-Angle Identities

Trigonometry Practice Questions

Double and Half Angle Formulas

Solving Trigonometric Equations

Sec 6.2 Trigonometry of Right Triangles

Main Ideas of Hon PreCalc Ch. 5 Class 1

Trigonometry for Angle

Trigonometric Ratios Geometry.

Academy Algebra II THE UNIT CIRCLE.

Notes 6-8: Principal Values and Inverses

Given A unit circle with radius = 1, center point at (0,0)

Presentation transcript:

Trigonometric Functions L.O. All pupils understand how the trigonometric functions are ratios All pupils can sketch the trigonometric identities

Starter: What are the trigonometric ratios?

Starter: What are the trigonometric ratios?

Trigonometric Functions L.O. All pupils understand how the trigonometric functions are ratios All pupils can sketch the trigonometric identities

Main: 90 180 360 270

Main: 90 Triangle 180 360 270

Main: 90 Triangle 180 360 If the angle at the centre, within the triangle, is 30 degrees, find sin, cos and tan of the angle 270

Main: 90 Triangle 180 360 If the angle at the centre, within the triangle, is 60 degrees, find sin, cos and tan of the angle 270

Main: 90 Triangle 180 360 Moving the triangle around the edge of the circle and remembering the trig. Identities, can you predict any values for sin, cos and tan? 270

Main: 90 180 270 360 Triangle Angle sinx cosx tanx 90 180 270 360

Main: sin 90 180 270 360 cos 90 180 270 360 tan 90 180 270 360

Trigonometric Functions L.O. All pupils understand how the trigonometric functions are ratios All pupils can sketch the trigonometric identities

Plenary:

Trigonometric Functions L.O. All pupils understand how the trigonometric functions are ratios All pupils can sketch the trigonometric identities