Question

Write the value of tan15º.​

Answer 1

(√3-1)23-1=3+1-2√32=4-2√32=2-√3. ∴tan15∘=√3-1√3+1or2-√3.

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Answer 2

Answer:

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tan (15°) = 2 - √3

Step-by-step explanation:

Tan (30° ) = tan (2*15°)

1/√3  = 2 tan (15°) / (1- tan ²(15°))

√3 = (1- tan ²(15°) / 2 tan (15°)

tan ²(15°) + 2√3 tan (15°) -1 =0

tan (15°) = -2√3 + √ (2√3)² -4 (1)(-1) / 2(1)

= -2√3±√16 / 2

= -√3±2

So,

tan (15°) = 2 - √3 or - (2 + √3)

As, tan 15° falls in the first quadrant, tan (15°) > 0

Therefore,

tan (15°) = 2 - √3

On simplification we get, 0.26794919243.