Question

Can you guys help me out on this? I'm still learning sign, cosign, and tangent :)

Answer 1

`\sin x = (1)/(√(10) )` and
`\sin y = (3)/(√(10) )`

`\cos x = (3)/(√(10) )` and
`\cos y = (1)/(√(10) )`

`\tan x = (1)/(3)` and
`\tan y = 3`

Explanation:

In a right triangle , let α be an angle of the triangle.

• 
  `\sin \alpha = (side \: opposite \: to \: \alpha )/(hypotenuse\: of \: the \: triangle)`

• 
  `\cos \alpha = (side \: adjacent \: to \: \alpha )/(hypotenuse \: of \: the \: triangle )`

• 
  `\tan \alpha = (side \: opposite \: to \: \alpha )/(side \: adjacent \: to \: \alpha )`

Using these properties , lets solve this question.

1) Let α (alpha) be x

• 
  `\sin x = (1)/(√(10) )`

• 
  `\cos x = (3)/(√(10) )`

• 
  `\tan x = (1)/(3)`

2) Let α (alpha) be y.

• 
  `\sin y = (3)/(√(10) )`

• 
  `\cos y = (1)/(√(10) )`

• 
  `\tan y = (3)/(1) = 3`