Evaluate the exact value: tan(pi/6)

Mathematics

2 answers:

IRISSAK [1]3 years ago

6 0

The answer is sq root 3/3.

---------Apex

Sedbober [7]3 years ago

4 0

Pi/6 = 180°/6 = 30°

This produces a triangle that has 30-60-90 angles.

Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1

Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3

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