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15 votes
Can someone please help me with this?

Can someone please help me with this?-example-1

2 Answers

10 votes

Answer:

5 is the answer. hope this help you

Can someone please help me with this?-example-1
Can someone please help me with this?-example-2
User Rok Prodan
by
8.1k points
9 votes

Answer:

  • 5

Explanation:

Given

  • tan θ = √6/2

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
User Hjulle
by
8.6k points

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