Yxcas's answer to lana <3's Secondary 4 A Maths Singapore question.

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Yxcas
Yxcas's answer
184 answers (A Helpful Person)
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lana <3
Lana <3
3 months ago
Hi thank you! But i still dont really get why -
a=3
Yxcas
Yxcas
3 months ago
Tangent graph max and min goes to infinity so there is not really an “amplitude” for tangent graphs. The amplitude for tangent graph is actually telling us how steep/shallow the graph is and the points we use to determine is the 1/4 or 3/4 points of the graph / 1/4 or 3/4 the length of the left to right asymptotes.

Whether a is positive or negative depends on whether the slope is in the same direction as the standard tangent graph (bottom left to top right).

The standard tangent graph y = tanθ,
|a|=tan(-π/4) or tan(π/4) = 1. So for your question a=3 means the graph is steeper than the standard tangent graph and in the same direction.