S5_Int2_trig_graphs

# S5_Int2_trig_graphs - Trigonometry Graphs Int 2...

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created by Mr. Lafferty created by Mr. Lafferty Graphs of the form y = a sin x o Trigonometry Graphs  Trigonometry Graphs  www.mathsrevision.com Int 2 Graphs of the form y = a sin bx o Phase angle Solving Trig Equations Special trig relationships

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created by Mr. Lafferty created by Mr. Lafferty Starter Starter 2         2 x +7 x +6 Q 3 .  S olve  (2 x - 1) (x - 1) = 0 1. Factorise the f ollowing. 2. A TV is reduced by 20% to £ 200. What was the original price. www.mathsrevision.com Int 2
created by Mr. Lafferty created by Mr. Lafferty Learning Intention Learning Intention Success Criteria Success Criteria 1. 1. Identify the key points for various   Identify the key points for various   graphs. graphs. 1. To investigate graphs of the form  y = a sin x o y = a cos x o y = tan x o   www.mathsrevision.com Int 2 Sine Graph  Sine Graph

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created by Mr. Lafferty created by Mr. Lafferty www.mathsrevision.com Int 2 Sine Graph  Sine Graph  Key Features Domain is 0 to 360 o (repeats itself every 360 o ) Maximum value of 1 Minimum value of -1 Key Features Zeros at 0, 180 o  and 360 o Max value at x = 90 o Minimum value at x = 270 o
created by Mr. Lafferty created by Mr. Lafferty www.mathsrevision.com Int 2 Sine Graph  Sine Graph  1 2 3 -3 -2 -1 0 90 o 180 o 270 o 360 o y = sinx o y = 2sinx o y = 3sinx o y = 0.5sinx o y = -sinx o What effect does the  number at the front  have on the graphs ?

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created by Mr. Lafferty created by Mr. Lafferty Sine Graph  Sine Graph  www.mathsrevision.com Int 2 y =  a  sin (x) For a > 1 stretches graph in the y-axis direction  For a < 1 compresses graph in the y - axis direction  For a - negative flips graph in the x – axis.
created by Mr. Lafferty created by Mr. Lafferty www.mathsrevision.com Int 2 Sine Graph  Sine Graph  2 4 6 -6 -4 -2 0 90 o 180 o 270 o 360 o y = 5sinx o y = 4sinx o y = sinx o y = -6sinx o

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created by Mr. Lafferty created by Mr. Lafferty www.mathsrevision.com Int 2 Cosine Graphs  Cosine Graphs  Key Features Key Features Domain is 0 to 360 o (repeats itself every 360 o ) Maximum value of 1 Minimum value of -1 Zeros at 90 o  and 270 o Max value at x = 0 and 360 o Minimum value at x = 180 o
created by Mr. Lafferty created by Mr. Lafferty www.mathsrevision.com Int 2 Cosine Cosine 1 2 3 -3 -2 -1 0 90 o 180 o 270 o 360 o y = cosx o y = 2cosx o y = 3cosx o y = 0.5cosx o y = -cosx o What effect does the  number at the front  have on the graphs ?

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created by Mr. Lafferty created by Mr. Lafferty www.mathsrevision.com Int 2 Cosine Graph  Cosine Graph  2 4 6 -6 -4 -2 0 90 o 180 o 270 o 360 o y = cosx o y = 4cosx o y = 6cosx o y = cosx o y = -cosx o
created by Mr. Lafferty created by Mr. Lafferty www.mathsrevision.com Int 2 Tangent Graphs  Tangent Graphs  Key Features Key Features Domain is 0 to 180 o (repeats itself every 180 o ) Zeros at 0 and 180 o

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created by Mr. Lafferty created by Mr. Lafferty www.mathsrevision.com Int 2 Tangent Graphs  Tangent Graphs
created by Mr. Lafferty

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## S5_Int2_trig_graphs - Trigonometry Graphs Int 2...

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