S5_Int2_Trig_Sine_Cosine

# S5_Int2_Trig_Sine_Cosine - Trigonometry S5 Int2 Exact Values

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13 Feb 2012 13 Feb 2012 Created by Mr. Lafferty Maths Dept. Created by Mr. Lafferty Maths Dept. Exact Values Angles greater than 90 o Trigonometry Trigonometry www.mathsrevision.com Useful Notation & Area of a triangle Using Area of Triangle Formula Cosine Rule Problems Sine Rule Problems Mixed Problems S5 Int2

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13 Feb 2012 13 Feb 2012 Created by Mr Lafferty Maths Dept Created by Mr Lafferty Maths Dept Starter Questions Starter Questions o 2 1.   Fac t o r is e  x - 3 6  2 .   A c ar  d e pr e c iat e s  at 2 0 % e ac h ye ar .      Ho w m uc h is  it wor t h af t e r  4  ye ar s if it c os t      £ 15 0 0 0  init ially. 3 .   W h at s in3 0  as a f r ac t io n. www.mathsrevision.com S5 Int2
13 Feb 2012 13 Feb 2012 Created by Mr Lafferty Maths Dept Created by Mr Lafferty Maths Dept Exact Values Exact Values Learning Intention Learning Intention Success Criteria Success Criteria 1. 1. Recognise basic triangles and exact  Recognise basic triangles and exact  values for sin, cos and tan 30 values for sin, cos and tan 30 o , 45 , 45 o , 60 , 60 o     . . 1. To build on basic trigonometry  values.  2. 2. Calculate exact values for problems. Calculate exact values for problems. www.mathsrevision.com S5 Int2

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2 2 2 60º 60º 60º 1 60º 2 30º 3 This triangle will provide exact values for sin, cos and tan 30º and 60º Exact Values Exact Values www.mathsrevision.com S5 Int2 Some special values of Sin, Cos and Tan are useful left as fractions, We call these exact values
x 30º 45º 60º 90º Sin xº Cos xº Tan xº ½ ½ 3 3  2 3  2 0 1 0 Exact Values Exact Values www.mathsrevision.com S5 Int2 1 3

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Exact Values Exact Values www.mathsrevision.com S5 Int2 1 1 45º 45º 2 Consider the square with sides 1 unit 1 1 We are now in a position to calculate  exact values for sin, cos and tan of 45 o
x 30º 45º 60º 90º Sin xº Cos xº Tan xº ½ ½ 3 3  2 3  2 0 1 0 Exact Values Exact Values www.mathsrevision.com S5 Int2 1 3    2    2   1

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13 Feb 2012 13 Feb 2012 Created by Mr Lafferty Maths Dept Created by Mr Lafferty Maths Dept Now try Exercise 1 Ch8 (page 94) www.mathsrevision.com S5 Int2 Exact Values Exact Values
13 Feb 2012 13 Feb 2012 Created by Mr Lafferty Maths Dept Created by Mr Lafferty Maths Dept Starter Questions Starter Questions 1.   W r it e  d o wn t h e  Com pound I nt e r e s t Fo r m ula      and id e nt if y e ac h t e r m . 2 .   A h ous e  inc r e as e s  b y 3 % e ac h ye ar .      Ho w m uc h is it wor t h in 5 ye ar s   if  it c os t      £ 4 0  0 0 0  init ially. 3 .   W h at is  t h e   . o e x ac t value  of  s in 4 5 www.mathsrevision.com S5 Int2

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13 Feb 2012 13 Feb 2012 Created by Mr. Lafferty Maths Dept.
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## This note was uploaded on 02/13/2012 for the course MAT 205 math 205 taught by Professor Google during the Spring '10 term at University of Phoenix.

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S5_Int2_Trig_Sine_Cosine - Trigonometry S5 Int2 Exact Values

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