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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 2 1 --
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 ?.
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˚
4.1- Plot Points in a Coordinate Plane
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:
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4.4 Trig Functions of Any Angle Objectives: Evaluate trigonometric functions of any angle Use reference angles to evaluate trig functions.
Question 1 How do you find the equation of a perpendicular bisector of a straight line ? 1.1.
Copyright © 2017, 2013, 2009 Pearson Education, Inc.
Copyright © 2009 Pearson Addison-Wesley Trigonometric Functions.
radius = r Trigonometric Values of an Angle in Standard Position 90º
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
(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 Trig functions of general angles
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
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
Page 452 – Factoring Special
Chapter 7 Trigonometry Chung Tai Educational Press © Chapter Examples Quit Chapter 7 Trigonometry Right-angled Triangles Adjacent side The side.
8-1 Completing the Square
Trigonometric Functions on the
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.
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.
EXAMPLE 1 Find trigonometric values Given that sin = and < < π, find the values of the other five trigonometric functions of . 4 5 π 2.
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