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snow_tiger [21]
3 years ago
8

The tangent of the larger acute angle

Mathematics
1 answer:
Tems11 [23]3 years ago
4 0

Answer: The tangent of the larger acute angle is 4/3 or 1⅓

Step-by-step explanation: if the sides of the right angled triangle are given as 3, 4 and 5 respectively, then the hypotenuse is 5 and the longer of the other two sides is 4. The angle facing the side measuring 4 is your reference angle, and that is the larger of the other two acute angles (see attachment)

Tan X = opposite/hypotenuse

Tan X = 4/3

Tan X = 1⅓

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Answer:

tan(450-a)=5\sqrt{3}-8

Step-by-step explanation:

We know that:

tan(a-b)=\frac{tan(a)-tan(b)}{1+tan(a)tan(b)}

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Thus:

tan(450-a)=\frac{tan(60)-tan(a)}{1+tan(60)tan(a)}\\\\

Then:

tan(450-a)=5\sqrt{3}-8

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