Question

If sinФ = 1/6 . what are the values of cosФ and tanФ? Show steps

Answer 1

sinФ = 1/6

sinФ = opposite/hypotenuse

cosФ = adjacent/hypotenuse

tanФ = opposite/adjacent

SOHCAHTOA

1^(2)+b^(2)=6^(2)

1+b^(2)=36

b^(2)=35

`√(35)`

cosФ =
`√(35)`/6

tanФ = 1/
`√(35)` =
`√(35)`/35

Answer 2

Cos ø = √35/6

Tan ø = √35/35

Explanation:

Sin ø = opposite/hypothenus

Sin ø = 1/6

Pythagoras theorem says

Hyp² = Opp² + Adj²

6² = 1² + A²

A² = 35

A = √35

Hence, cos ø = √35/6

tan ø = 1/√35 = √35/35