We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byAliyah Sidman
Modified over 2 years ago
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
Credit revision Q 1 What is the sine rule ?. Answer to Credit revision Q 1 a b c sinA sinb sinC == A B C a b c.
TRIGONOMETRY. Sign for sin , cos and tan Quadrant I 0° < < 90° Quadrant II 90 ° < < 180° Quadrant III 180° < < 270° Quadrant IV 270 ° < <
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.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 6.3 Properties of the Trigonometric Functions.
1.1 Unit 1 revision Q 1 What is the perpendicular bisector of a line ?
Evaluating Sine & Cosine and and Tangent (Section 7.4)
Unit Circle ( √3, 1 ) 2 2 ( 1, √3 ) 2 2 ( √2, √2 ) ˚ 45˚ 60˚
Ordered pairs are used to locate points in a coordinate plane. x-axis (horizontal axis) origin (0,0) y-axis (vertical axis)
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.
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.
Factor each trinomial: x 2 + 4x + 3 (x + 3)(x + 1)
1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Sum & Differences of angles Stage 6 - Year 11 Mathematic Extension 1 (Preliminary)
4.4 Trig Functions of Any Angle Objectives: Evaluate trigonometric functions of any angle Use reference angles to evaluate trig functions.
1.1 Question 1 How do you find the equation of a perpendicular bisector of a straight line ?
Copyright © 2017, 2013, 2009 Pearson Education, Inc. 1 1 Trigonometric Functions Copyright © 2017, 2013, 2009 Pearson Education, Inc.
Copyright © 2009 Pearson Addison-Wesley Trigonometric Functions.
© The Visual Classroom 30º 45º 60º 90º 120º 135º 150º 180º 210º 225º 240º 270º 300º 315º 330º 0º Trigonometric Values of an Angle in Standard Position.
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 ?
Reciprocal functions secant, cosecant, cotangent Secant is the reciprocal of cosine. Reciprocal means to flip the ratio. Cosecant is the reciprocal of.
Engineering MATHEMATICS MET Trigonometric Functions Every right-angled triangle contains two acute angles. With respect to each of these angles,
13.1 TRIGONOMETRIC IDENTITIES Objective: Use trigonometric identities to find trigonometric values.
(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.
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.
Using Fundamental Identities To Find Exact Values. Given certain trigonometric function values, we can find the other basic function values using reference.
1 © 2011 Pearson Education, Inc. All rights reserved 1 © 2010 Pearson Education, Inc. All rights reserved © 2011 Pearson Education, Inc. All rights reserved.
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.
Section 7.2 The Inverse Trigonometric Functions (Continued)
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.
(a) How to memorize the trigonometric identities? Trigonometric Identities Easy Memory Tips: Quadrant is acute sin cos tan IIIII IV I sin - -
13.3 T RIG FUNCTIONS OF GENERAL ANGLES Algebra II w/ trig.
Trig Graphs. y = sin x y = cos x y = tan x y = sin x + 2.
Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.
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.
Roots of a complex number Chapter 7 review # 31 & 35 & 33 To view this power point, right click on the screen and choose Full screen.
Complex Numbers XII – STANDARD MATHEMATICS. If n is a positive integer, prove that.
Section 1.4 Trigonometric Functions an ANY Angle Evaluate trig functions of any angle Use reference angles to evaluate trig functions.
1.Name the quadrant a. (-5, 1)b. (6, -4) c. (5, 8) d. (-8, -1) e. (7, 2)f. (-9, 4)
Solving Quadratic Equations by Completing the Square.
Objectives Factor perfect-square trinomials. Factor the difference of two squares. Page 452 – Factoring Special Polynomials.
Chapter 7 Trigonometry Chung Tai Educational Press © Chapter Examples Quit Chapter 7 Trigonometry Right-angled Triangles Adjacent side The side.
DOUBLE ANGLES. Let B =A sin (A + A) = sinA cosA + cosA sinA sin 2A = 2 sin A cos A Let B =A Since, cos 2 A + sin 2 A = 1 cos 2A = cos 2 A – ( 1 – cos.
8-1 Completing the Square Solving Quadratic Equations by Factoring: Set the equation equal to 0 Factor Set each factor = 0 and solve Example 1a: Example.
Section 5-3 Trigonometric Functions on the Unit Circle Objective: Students will be able to: 1.Find the values of the six trigonometric functions using.
Factoring Special Polynomials(3.8). Perfect Square Trinomials 4x x + 9 4x 2 + 6x + 6x + 9 (4x 2 + 6x) (+6x + 9) (2x + 3) (2x + 3) 2.
Warm Up Evaluate each of the following. 1) cos (150 ○ ) 2) sin (360 ○ )3) 4) 5) 6) 7) tan(240 ○ ) 8) csc(-225 ○ ) 9) cot(20π/3) 10) sec(- π/4)
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.
Trigonometry Test Review!. DefinitionsGiven PointDetermine Quadrant(s) ConstraintsReference Angles Bonus Question: 5000 pts.
Half-angle formulae Trigonometry. Half-angle formula: sine We start with the formula for the cosine of a double angle: cos 2θ = 1− 2sin 2 θ Now, if we.
EXAMPLE 1 Find trigonometric values Given that sin = and < < π, find the values of the other five trigonometric functions of . 4 5 π 2.
© 2017 SlidePlayer.com Inc. All rights reserved.