Credit revision Q 1 What is the sine rule ?. Credit revision Q 2 What three processes do you go through in order to factorise a quadratic ?

Slides:



Advertisements
Similar presentations
©G Dear 2010 – Not to be sold/Free to use
Advertisements

Answer to Credit revision Q 1 a b c sinA sinb sinC == A B C a b c.
Law of Cosines c2 = a2 + b2 – 2abcos(θ) Or to solve for unknown angles
Solving Quadratic Equations by Factorisation. By I Porter
Trigonometric Ratios and Complementary Angles
Section 7.2 The Inverse Trigonometric Functions (Continued)
Pre calculus Problem of the Day Homework: p odds, odds, odds On the unit circle name all indicated angles by their first positive.
Textbook: Chapter 13. ** Make sure that your calculator is set to the proper mode**
Solving Right Triangles
Starter a 6 c A 49° 96° 1.Use the Law of Sines to calculate side c of the triangle. 2.Now find the Area of a Triangle.
Maths revision course by Miriam Hanks
Trigonometry 2 Aims Solve oblique triangles using sin & cos laws Objectives Calculate angles and lengths of oblique triangles. Calculate angles and lengths.
HOW TO FIND AN ANGLE MEASURE FOR A TRIANGLE WITH AN EXTENDED SIDE
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.
Intermediate 2 Mind Maps Fractions Volume Straight Line Circle Simultaneous Equations Trigonometry Trig Functions & Equations Comparing Data Standard Deviation.
Warm Up Sign Up. AccPreCalc Lesson 27 Essential Question: How are trigonometric equations solved? Standards: Prove and apply trigonometric identities.
A = Cos o x H Cosine Rule To find an adjacent side we need 1 side (hypotenuse) and the included angle. 9 cm 12 cm 60° 75° a a A = Cos ° x H A = Cos 75°
Further Trigonometry Learning Outcomes  Calculate distances and angles in solids using plane sections and trig ratios  Be able to sketch graphs of sine,
Solution of Triangles COSINE RULE. Cosine Rule  2 sides and one included angle given. e.g. b = 10cm, c = 7 cm and  A = 55° or, a = 14cm, b = 10 cm and.
Unit 1 – Physics Math Algebra, Geometry and Trig..
How do I use the sine, cosine, and tangent ratios to solve triangles?
Copyright © 2000 by the McGraw-Hill Companies, Inc. Barnett/Ziegler/Byleen Precalculus: A Graphing Approach Chapter Six Trigonometric Identities & Conditional.
Quadratic Equations Learning Outcomes  Factorise by use of difference of two squares  Factorise quadratic expressions  Solve quadratic equations by.
Solving Trigonometric Equations T, 11.0: Students demonstrate an understanding of half-angle and double- angle formulas for sines and cosines and can use.
1 Equations 7.3 The Law of Cosines 7.4 The Area of a Triangle Chapter 7.
Simple Trigonometric Equations The sine graph below illustrates that there are many solutions to the trigonometric equation sin x = 0.5.
Trigonometric Equations 5.5. To solve an equation containing a single trigonometric function: Isolate the function on one side of the equation. Solve.
The Right Triangle Right Triangle Pythagorean Theorem
Trigonometric Equations. Definition Example: Consider:
Pg. 407/423 Homework Pg. 407#33 Pg. 423 #16 – 18 all #19 Ѳ = kπ#21t = kπ, kπ #23 x = π/2 + 2kπ#25x = π/6 + 2kπ, 5π/6 + 2kπ #27 x = ±1.05.
Credit revision Q 1 What is the sine rule ?.
Warm-Up Write the sin, cos, and tan of angle A. A BC
Aim: How do we solve trig equations using reciprocal or double angle identities? Do Now: 1. Rewrite in terms of 2. Use double angle formula to rewrite.
13.5 Law of Cosines Objectives: 1.Solve problems by using the Law of Cosines 2.Determine whether a triangle can be solved by first using the Law of Sines.
Objective: To apply the Law of Cosines for finding the length of a missing side of a triangle. Lesson 18 Law of Cosines.
Section 7-3 The Sine and Cosine Functions Objective: To use the definition of sine and cosine to find values of these functions and to solve simple trigonometric.
Good Morning, Precalculus! To prepare for class: 1. Please find your DO NOW sheet and start today's DO NOW! Do Now: 1) Check to make sure your calculator.
Sine and Cosine Rule- Which One to Use?. Two Sides and Included Angle To find side x, use the …. cosine rule To find angle Y, use the … sine rule 7cm.
Solving Equations with Trig Functions. Labeling a right triangle A.
Chapter 5 Analytic Trigonometry. Intro Using Fundamental Identities Intro In previous chapters, we studied __________ ________________, ______________,
Pg. 407/423 Homework Pg. 407#33 Pg. 423 #16 – 18 all #9 tan x#31#32 #1x = 0.30, 2.84#2x = 0.72, 5.56 #3x = 0.98#4No Solution! #5x = π/6, 5π/6#6Ɵ = π/8.
Chapter 6 Analytic Trigonometry Copyright © 2014, 2010, 2007 Pearson Education, Inc Verifying Trigonometric Identities.
Exact Values of Sines, Cosines, and Tangents  None.
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.
Sum and Difference Formulas. WARM-UP The expressions sin (A + B) and cos (A + B) occur frequently enough in math that it is necessary to find expressions.
Problem The direction of the 75-lb forces may vary, but the angle between the forces is always 50 o. Determine the value of  for which the resultant.
SOLVING QUADRATIC EQUATIONS BY FACTORISATION. This very important result is used for solving quadratic equations. If a × b = 0thena = 0orb = 0.
We are now going to extend trigonometry beyond right angled triangles and use it to solve problems involving any triangle. 1.Sine Rule 2.Cosine Rule 3.Area.
Using the Sine, Cosine and Tangent Rules Objective: To relate the sine, cosine and tangent functions with the sides of a triangle to create rules. Use.
Sine Law Homework Questions??? Pg. 25 # 3, 5, 7, 9.
Expanding Single Brackets Quadratic Sequences
Trigonometry Review.
Credit Revision Chapters
Pythagoras’ Theorem – Outcomes
National 5 By Topic 2014 onwards
9.1: Identities and Proofs
O ___ A __ (4/5) (4/5) 38.7° (angles are typically rounded to the tenth) 38.7° tanθ = O __ A tanC = 20 ___ 16 C = tan-1(5/4) C ≈ 51.3°
The formula for calculating the area of a parallelogram
Sine and Cosine Rule revision
Objective-To find missing angles using rules of geometry.
Sine and Cosine Rule s.small.
National 5 By Topic 2014 onwards
MATH 1330 Section 6.1.
See A3 sheet given out in Unit 1 For more solving techniques
Sine Rule: Missing Sides
Pythagoras’ Theorem.
LT: I can use the Law of Sines and the Law of Cosines to find missing measurements on a triangle. Warm-Up Find the missing information.
What’s the same and what’s different?
Discuss: What information must we have to use the sine rule to calculate a missing length?
Presentation transcript:

Credit revision Q 1 What is the sine rule ?

Credit revision Q 2 What three processes do you go through in order to factorise a quadratic ?

Credit revision Q 3 What is sin x cos x equal to ?

Credit revision Q 4 How do you solve equations of the form cosx o = ? (0x360)

Credit revision Q 5 How do you find the gradient of a line joining two points ?

Credit revision Q 6 What is sin 2 x + cos 2 x equal to ?

Credit revision Q 7 What is the Theorem of Pythagoras ?

Credit revision Q 8 State the cosine rule to find a missing side

Credit revision Q 9 What does a fractional index number indicate? eg x

Credit revision Q 10 State the cosine rule to find an angle

Credit revision Q 11 Write x 2 y + y 2 as the sum of xy two separate fractions

Credit revision Q 12 Solve for x x 4 = x = x = x = 1 7 x = 7