gracek2191
gracek2191 gracek2191
  • 08-07-2019
  • Mathematics
contestada

An acute angle θ is in a right triangle with sin θ = one half. What is the value of cot θ?

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sqdancefan
sqdancefan sqdancefan
  • 08-07-2019

Answer:

  √3

Step-by-step explanation:

  cot²(θ) = csc²(θ) -1 . . . . . a relevant identity

  = 1/sin²(θ) -1

  = (1/(1/2))² -1 = 2² -1 = 3

Then ...

  cot(θ) = √3 . . . . . . . . take the square root

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longwoodfade longwoodfade
  • 09-12-2020

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

It just is

Answer Link

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