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PLEASE HELP!!! The question is in an image....

PLEASE HELP!!! The question is in an image....-example-1
User Abdool
by
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1 Answer

2 votes

9514 1404 393

Answer:

-√3

Explanation:

We note that this matches the form for the tangent of the difference of two angles:

tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(βb))

Here, we have α = 25π/24 and β = 3π/8. Then the angle difference is ...

α -β = π(25/24 -3/8) = π(2/3)

The value you seek is ...

tan(2π/3) = -√3

User Whoan
by
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