Does the tangent ratio have a maximum value?
AYes, its maximum is 1
BNo, it has no maximum
CYes, its maximum is 2
DYes, its maximum is 0
Answer & Solution
Correct answer: B. No, it has no maximum
1. The tangent ratio is the opposite side divided by the adjacent side.
2. Neither of those two sides has to be the longest side of the triangle.
3. The opposite side can therefore be many times longer than the adjacent side.
4. So there is no maximum value for the tangent ratio.
5. Sine and cosine both divide by the hypotenuse instead, which is why they cannot exceed 1.
_Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 5: Trigonometry_
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