Question

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

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

Answer 1

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.