Trigonometrymedium · Past Paper

What is the value of tan(15)?

A2 - sqrt(3)
B2 + sqrt(3)
Csqrt(3) - 1
D1

✓ Correct Answer: A2 - sqrt(3)

tan(45-30) = (1 - 1/sqrt3)/(1 + 1/sqrt3) = (sqrt3-1)/(sqrt3+1) = 2 - sqrt3.

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