Answer:
Step-by-step explanation:
Given
To find
- (tan θ + cot θ)/(tan θ - cot θ)
Solution
- cot θ = 1/tan θ = 2/√6 = 2√6/√6√6 = 2√6/6 = √6/3
Simplify and solve by substitution:
- (tan θ + cot θ)/(tan θ - cot θ) =
- (√6/2 + √6/3)/(√6/2 - √6/3) =
- ((3√6 + 2√6)/6) / ((3√6 - 2√6)/6) =
- (5√6/6)/(√6/6) =
- 5√6/√6 =
- 5
