Question

Trig question ———————

Answer 1

1)
`\cos(A) = 0.948(appx)`

2)
`\sin(A) = 0.316(appx)`

3)
`\tan(A) = 0.333(appx)`

Explanation:

Using Pythagorean theorem ,

Hypotenuse =

`\sqrt{ {6}^(2) + {2}^(2) } = √(36 + 4) = √(40) = 2 √(10)`

We know that

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

Where
`\ alpha` is an angle of tge triangle.

In the triangle given above ,
`\ alpha = angle \: A` . So,

1)
`\cos(A) = (6)/(2 √(10) ) = (3)/( √(10) ) = 0.948(appx)`

2)
`\sin(A) = (2)/(2 √(10) ) = (1)/( √(10) ) = 0.316(appx)`

3)
`\tan(A) = (2)/(6) = (1)/(3) = 0.333(appx)`