Question

Evaluate cos0 if sin0= sqrt(5)/3

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

Answer 1

• sinØ=√5/3

Perpendicular=√5

Hypotenuse=3

Base

• √(3)²-(√5)²
• √9-5
• √4
• 2

CosØ

• Base/Hypotenuse
• 2/3

Answer 2

Solution given:

`\sin( \alpha ) = (√(5) )/(3)`

so

P=√5

h=3

b=
`\sqrt{3 {}^(2) - √(5) {}^(2) }`

b=2

so

`\cos( \alpha ) = (b)/(h) = (2)/(3)`

Note

`\alpha = 0`

b:⅔