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3 years ago

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:

Step-by-step 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

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