[qdeck ” bold_text=”false”]
[h] Q
[q] Sine
[a]
Domain = {\({x|x\in R}\)}
Range = {\({y|-1\leqslant y\leqslant 1}\)}
[q] Cosine
[a]
Domain = {\({x|x\in R}\)}
Range = {\({y|-1\leqslant y\leqslant 1}\)}
[q] Tangent
[a]
Domain = {\({x|x\neq \frac{\Pi}{2}+k\Pi,k\in Z}\)}
Range = {\({y|y\in R}\)}
Vertical Asymptotes at \(x\) = \(\frac{\Pi}{2}, \frac{3\Pi}{2}, \frac{5\Pi}{2}, etc\)
[q] Transformations
[a]
Sine and Cosine have amplitue of 1 and period = 2π.
[q] Transformations Rules
[a] \(y= asin[b(x-c)]+d\), Cos is same but with its own starting graph.
Here, a = amplitude
Shift right by ‘c’
Period = 2π/b
\(y= atan[b(x-c)]+d\), Cos is same but with its own starting graph.
Here, amplitude = undefined
Shift right by ‘c’
Period = π/b
[x] Exit text
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[/qdeck]