kellerpaula kellerpaula
  • 23-03-2020
  • Mathematics
contestada

Trigonometry
Trigonometric Functions
Given: Sin θ = (5/6), Find: Cot θ

Respuesta :

Llamaland9 Llamaland9
  • 23-03-2020

Answer:

cotθ = [tex]\sqrt{11}[/tex] [tex]/ 5[/tex]

Step-by-step explanation:

sine = opposite / hypotenuse

cotangent = adjacent / opposite

So first we have to solve for the adjacent side b, using pythagorean theorem

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]5^{2} +b^{2} =6^{2}[/tex]

[tex]25 + b^{2} = 36[/tex]

[tex]b^{2} = 11[/tex]

[tex]b = \sqrt{11}[/tex]

cotangent = adjacent / opposite

cotθ = [tex]\sqrt{11}[/tex] [tex]/ 5[/tex]

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