Set: Parent Sine and Cosine General Characteristics

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With groups: Maggie L. Walker Governor's School, The Green Dragons, Trig Vocab (edit)
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All 34 Terms

Term Definition
Sine Domain (-∞,∞)
Sine Range [-1,1]
Sine Period
Sine Frequency 1/2π
Sine Pattern IMImI
Sine Amplitude 1
Sine Midline y=0
Sine f(x)>0 (0+2πk,2π+2πk)
Sine f(x)=0 {xIx=π+πk}
Sine f(x)<0 (π+2πk,2π+2πk)
Sine f(x) increasing [-π+2πk,π/2+2πk]
Sine f(x) decreasing [π/2+2πk,3π/2+2πk]
Sine f(x) maximum {xIx=π/2+2πk}
Sine f(x) minimum {xIx=3π/2+2πk}
Sine f(x) concave up [π+2πk,2π+2πk]
Sine f(x) concave down [0+2πk,π+2πk]
Sine f(x) Point of Inflection {xIx=πk}
Cosine Domain (-∞,∞)
Cosine Range [-1,1]
Cosine Period
Cosine Frequency 1/2π
Cosine Pattern MImIM
Cosine Amplitude 1
Cosine Midline y=0
Cosine f(x)>0 (-π/2+2πk,π/2+2πk)
Cosine f(x)=0 {xIx=π/2+πk}
Cosine f(x)<0 (π/2+2πk,3π/2+2πk)
Cosine f(x) increasing [-π+2πk,0+2πk]
Cosine f(x) decreasing [0+2πk,π+2πk]
Cosine f(x) maximum {xIx=0+2πk}
Cosine f(x) minimum {xIx=π+2πk}
Cosine f(x)concave up [π/2+2πk,3π/2+2πk]
Cosine f(x) concave down [-π/2+2πk,π/2+2πk]
Cosine f(x) Point of Inflection {xIx=π/2+πk}

Set Information

Terms 34
Creator cacondro
Created March 12, 2008
Groups Maggie L. Walker Governor's School, The Green Dragons, Trig Vocab
Tags None
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