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Finger [1]
2 years ago
5

Tan x + sqrt(3) = - 2 tan x

Mathematics
1 answer:
Svet_ta [14]2 years ago
8 0

9514 1404 393

Answer:

  nπ -π/6 . . . for any integer n

Step-by-step explanation:

  tan(x) +√3 = -2tan(x) . . . . . given

  3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3

  tan(x) = -√3/3 . . . . . . . . . . divide by 3

  x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x

This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...

  x = n·π -π/6 . . . . for any integer n

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What is m∠KNL? Enter your answer in the box. ° A horizontal line segment M K intersects with line segment J L at their midpoint
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t N.

In the figure shown below

Answer:

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8 0
3 years ago
Read 2 more answers
in the xy-plane, the line x + y=k, where k is a constant, is tangent to the graph of y=x^2+3x+1. What is the value of k?
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This would be the value of k. Since we are not given the common point, it can only be expressed in terms of x or y.
3 0
3 years ago
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