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Evaluate:2tan30°+tan(−30°)/(1−tan45°)²

a) sin60°
b) cos60°
c) tan60°
d) sin30°

User Halina
by
8.4k points

1 Answer

2 votes

Final answer:

The given expression is undefined and none of the given options is the correct answer.

Step-by-step explanation:

In order to evaluate the expression 2tan30°+tan(-30°)/(1-tan45°)², we can start by finding the values of each tangent function:

  1. tan(30°) = √3 / 3
  2. tan(-30°) = -√3 / 3
  3. tan(45°) = 1

Substituting these values into the expression, we get 2(√3 / 3) + (-√3 / 3) / (1 - 1)² = √3 + (-√3) / 0 = undefined

Therefore, the expression is undefined and none of the given options (a, b, c, d) is the correct answer.

User Nikobelia
by
9.0k points

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