Plz help asap Use the identity, tantan0 = (sin 0)/(cos 0) to find tan 0 if... a) sin 0 = (3)/(5) and cos0 = (4)/(5) b) cos0=(5)/(13) and sin0=(12)/(13)

Question

Plz help asap

Use the identity, tan
`tan0 = (sin 0)/(cos 0)` to find
`tan 0` if...


a)
`sin 0 = (3)/(5)` and
`cos0 = (4)/(5)`

b)
`cos0=(5)/(13)` and
`sin0=(12)/(13)`

Answer 1

let the angle be α, i cant input that one

a) tanα=
`(3)/(4)`

b) tanα=
`(12)/(5)`

Explanation:

a) tanα=
`(sin\alpha )/(cos\alpha )`

=
`((3)/(5) )/((4)/(5) )`

=
`(3)/(4)`

b) tanα=
`(sin\alpha )/(cos\alpha )`

=
`((12)/(13) )/((5)/(13) )`

=
`(12)/(5)`