What is the exact value of tangent of open paren 19 pi over 12 close paren ?
Answer
A
negative 2 minus square root of 3
B
1 plus square root of 3
C
1 minus square root of 3
D
negative 2 plus square root of 3
Explanation
The angle 19π/12 equals 285°. Since 285° = 360° − 75°, its tangent is −tan(75°). Using tan(75°) = 2 + √3, the exact value is −2 − √3, which is choice B.
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