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Unformatted text preview: created by Mr. Lafferty created by Mr. Lafferty Graphs of the form y = a sin x o Trigonometry Graphs Trigonometry Graphs www.mathsrevision.com S4 Credit Graphs of the form y = a sin bx o Solving Trig Equations Special trig relationships Exact values for Sin Cos and Tan Angles greater than 90 o Graphs of the form y = a sin bx o + c 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 or 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 . How m uc h is it wor t h af t e r 1 ye ar if it c os t 15 0 0 0 init ially. 3 . W h at is s in3 0 as a f r ac t ion. www.mathsrevision.com S4 Credit 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 S4 Credit 2 2 2 60 60 60 1 60 2 30 3 This triangle will provide exact values for sin, cos and tan 30 and 60 Exact Values Exact Values www.mathsrevision.com Some special values of Sin, Cos and Tan are useful left as fractions, We call these exact values S4 Credit x 0 30 45 60 90 Sin x Cos x Tan x 3 3 2 3 2 1 1 Exact Values Exact Values www.mathsrevision.com 1 3 S4 Credit Exact Values Exact Values www.mathsrevision.com 1 1 45 45 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 S4 Credit x 0 30 45 60 90 Sin x Cos x Tan x 3 3 2 3 2 1 1 Exact Values Exact Values www.mathsrevision.com S5 Int2 1 3 1 2 1 2 1 13 Feb 2012 13 Feb 2012 Created by Mr Lafferty Maths Dept Created by Mr Lafferty Maths Dept Now try Ex 2.1 Ch11 (page 220) 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 . o 1. T r ue or f als e 2 + 3 7 = 3 5 2 . A h ous e inc r e as e s b y 3 % e ac h ye ar . How m uc h is it wor t h af t e r 1 ye ar s if it c os t 4 0 0 0 0 init ially....
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This note was uploaded on 02/13/2012 for the course MATH 115 115 taught by Professor Jones during the Spring '10 term at University of Phoenix.

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S4_3_trig_graphs_Ch11 - created by Mr. Lafferty created by...

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