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Sergio [31]
3 years ago
12

Can someone please help me with this?

Mathematics
2 answers:
Levart [38]3 years ago
5 0

Answer:

5 is the answer. hope this help you

joja [24]3 years ago
3 0

Answer:

  • 5

Step-by-step explanation:

<u>Given </u>

  • tan θ = √6/2

<u>To find</u>

  • (tan θ + cot θ)/(tan θ - cot θ)

<u>Solution</u>

  • cot θ = 1/tan θ = 2/√6 = 2√6/√6√6 = 2√6/6 = √6/3

<u>Simplify and solve by substitution:</u>

  • (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
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