Answer to Credit revision Q 1 a b c sinA sinb sinC == A B C a b c.

Slides:



Advertisements
Similar presentations
Factor each trinomial:
Advertisements

4.1- Plot Points in a Coordinate Plane
©G Dear 2010 – Not to be sold/Free to use
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 ?
Roots of a complex number
Made by Mr Haughton Made by Mr S Haughton Show 4 oclock.
P.4 Factoring Polynomials
Solving Quadratic Equations by Completing the Square
13.3 Trig functions of general angles
1.Name the quadrant a. (-5, 1)b. (6, -4) c. (5, 8) d. (-8, -1) e. (7, 2)f. (-9, 4)
Question 1 How do you find the equation of a perpendicular bisector of a straight line ? 1.1.
Trig Graphs. y = sin x y = cos x y = tan x y = sin x + 2.
1 Special Angle Values. 2 Directions A slide will appear showing a trig function with a special angle. Work out the answer Hit the down arrow to check.
Evaluating Sine & Cosine and and Tangent (Section 7.4)
Solving Problems Modelled by Triangles. PYTHAGORAS Can only occur in a right angled triangle Pythagoras Theorem states: hypotenuse right angle e.g. square.
COMPOUND ANGLE FORMULAE.
Warm Up Evaluate each of the following.
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.
Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.
Copyright © 2009 Pearson Addison-Wesley Trigonometric Functions.
TRIGONOMETRY. Sign for sin , cos  and tan  Quadrant I 0° <  < 90° Quadrant II 90 ° <  < 180° Quadrant III 180° <  < 270° Quadrant IV 270 ° < 
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 6.3 Properties of the Trigonometric Functions.
Trig Functions of Any Angle Lesson 2.3. Angles Beyond 90°  Expand from the context of angles of a right triangle  Consider a ray from the origin through.
Engineering MATHEMATICS MET Trigonometric Functions Every right-angled triangle contains two acute angles. With respect to each of these angles,
Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 Objectives: Use the formula for the cosine of the difference of two angles. Use sum and difference.
Half-angle formulae Trigonometry.
Copyright © Cengage Learning. All rights reserved.
(a) How to memorize the trigonometric identities? Trigonometric Identities Easy Memory Tips: Quadrant  is acute sin cos tan IIIII IV I sin  -  -  
Section 7.2 The Inverse Trigonometric Functions (Continued)
Trigonometric Functions on the
Trigonometric Functions Let (x, y) be a point other then the origin on the terminal side of an angle  in standard position. The distance from.
EXAMPLE 1 Find trigonometric values Given that sin  = and <  < π, find the values of the other five trigonometric functions of . 4 5 π 2.
DOUBLE ANGLES.
Aim: What are the reciprocal functions and cofunction? Do Now: In AB = 17 and BC = 15. 1) Find a) AC b) c) d) 2) Find the reciprocal of a)b) c) A B C.
Complex Numbers XII – STANDARD MATHEMATICS. If n is a positive integer, prove that.
radius = r Trigonometric Values of an Angle in Standard Position 90º
13.1 Trigonometric Identities
Using Fundamental Identities To Find Exact Values. Given certain trigonometric function values, we can find the other basic function values using reference.
Section 1.4 Trigonometric Functions an ANY Angle Evaluate trig functions of any angle Use reference angles to evaluate trig functions.
Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.
Reciprocal functions secant, cosecant, cotangent Secant is the reciprocal of cosine. Reciprocal means to flip the ratio. Cosecant is the reciprocal of.
Homework Quiz 4.3 A flagpole stands in the middle of a flat, level field. Fifty feet away from its base a surveyor measures the angle to the top of the.
8-1 Completing the Square
1 © 2011 Pearson Education, Inc. All rights reserved 1 © 2010 Pearson Education, Inc. All rights reserved © 2011 Pearson Education, Inc. All rights reserved.
Page 452 – Factoring Special
1.1 Unit 1 revision Q 1 What is the perpendicular bisector of a line ?
Mathematics department Algebra Unit one Factorization of a trinomial with the form ax 2 ± bx + c a=1of Factorization of a trinomial with the form ax 2.
Credit revision Q 1 What is the sine rule ?.
8.5 Factoring Differences of Squares (top)  Factor each term  Write one set of parentheses with the factors adding and one with the factors subtracting.
REVIEW Reference angle.
(1) Sin, Cos or Tan? x 7 35 o S H O C H A T A O Answer: Tan You know the adjacent and want the opposite.
Trigonometry Test Review!. DefinitionsGiven PointDetermine Quadrant(s) ConstraintsReference Angles Bonus Question: 5000 pts.
Unit Circle ( √3, 1 ) 2 2 ( 1, √3 ) 2 2 ( √2, √2 ) ˚ 45˚ 60˚
Use Reference Angles to Evaluate Functions For Dummies.
Copyright © 2009 Pearson Addison-Wesley Trigonometric Functions.
Chapter 7 Trigonometry Chung Tai Educational Press © Chapter Examples Quit Chapter 7 Trigonometry Right-angled Triangles Adjacent side The side.
Reviewing Trigonometry Angle Measure Quadrant Express as a function of a positive acute angle Evaluate Find the angle Mixed Problems.
4.4 Trig Functions of Any Angle Objectives: Evaluate trigonometric functions of any angle Use reference angles to evaluate trig functions.
Copyright © 2017, 2013, 2009 Pearson Education, Inc.
TRIGONOMETRY 2.4.
Warm Up Solve ΔSJT given s = 49, side j = 16, and angle S = 115°. S = _____ J = _____ T = _____ s = _____ j = _____ t = _____.
9.3 Double-Angle and Half-Angle Formulas
Factoring Perfect Square Trinomials and the Difference of Two Squares
Properties of Trig Fcts.
cos 2A = 1 – 2 sin² A or cos 2A = 2 cos² A – 1.
Copyright © 2017, 2013, 2009 Pearson Education, Inc.
1 Trigonometric Functions.
Special Right Triangles
SUM & DIFFERENCE FORMULAS
Perfect Square Trinomial
Presentation transcript:

Answer to Credit revision Q 1 a b c sinA sinb sinC == A B C a b c

Answer to Credit revision Q 2 (i)common factor (ii)difference of two squares (iii)trinomial (put in brackets)

Answer to Credit revision Q 4 (i) decide on the 2 quadrants (cos is -ve) (ii) ignore the sign and press INV cos to get angle (iii) work out your 2 angles

Answer to Credit revision Q 3 tan x

Answer to Credit revision Q 6 1

Answer to Credit revision Q 5 m = y 2 – y 1 x 2 – x 1 A(x 1,y 1 ) B(x 2,y 2 ) x y

Answer to Credit revision Q 8 a 2 = b 2 +c 2 -2bccosA A B C a b c

Answer to Credit revision Q 7 For ΔABC, right-angled at A, a 2 = b 2 + c 2 A B C a c b

Answer to Credit revision Q 10 cos A = b 2 + c 2 - a 2 2bc A B C a b c

Answer to Credit revision Q 9 It means there is a root eg x = x

Answer to Credit revision Q 12 x = 5 x = 3 x = 5 x = 0 x = 1

Answer to Credit revision Q 11 x 2 y+y 2xy = x+ y x