saraharbs saraharbs
  • 15-05-2021
  • Mathematics
contestada

Evaluate cos0 if sin0= sqrt(5)/3

a. 9/5
b. 2/3
c. 5/9
d. 3/2

Respuesta :

msm555
msm555 msm555
  • 15-05-2021

Solution given:

[tex] \sin( \alpha ) = \frac{\sqrt{5} }{3}[/tex]

so

P=√5

h=3

b=[tex] \sqrt{3 {}^{2} - \sqrt{5} {}^{2} } [/tex]

b=2

so

[tex] \cos( \alpha ) = \frac{b}{h} = \frac{2}{3} [/tex]

Note

[tex] \alpha = 0[/tex]

b:⅔

Answer Link
Аноним Аноним
  • 28-06-2022
  • sinØ=√5/3

Perpendicular=√5

Hypotenuse=3

Base

  • √(3)²-(√5)²
  • √9-5
  • √4
  • 2

CosØ

  • Base/Hypotenuse
  • 2/3
Answer Link

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