zErOsHailEy
zErOsHailEy zErOsHailEy
  • 10-03-2020
  • Mathematics
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Given cos0 = 5/6 ans angle 0 is in quadrant 1, what is the exact value of sin 0 in simplest form ?

Given cos0 56 ans angle 0 is in quadrant 1 what is the exact value of sin 0 in simplest form class=

Respuesta :

profarouk profarouk
  • 10-03-2020

Answer:

[tex]\frac{\sqrt{11}}{6}[/tex]

Step-by-step explanation:

formula : cos²θ + sin²θ = 1  

then  sin²θ = 1 - cos²θ

then sin²θ = 1 - (5/6)²

then sin²θ = 1 - 25/36

                 = (36 - 25)/36

                 = 11/36

sin²θ = 11/36 ⇒ sinθ = √(11)/6 = =0.552770798393

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