find tan θ

Question

If secθ = 3 and sin θ>0, find tan θ

Answer 1

sec θ = 3

tan θ=√(sec^2θ -1)

        =√(3^2 -1)

        =√8

sin θ>0 means θ is in 1st quadrant, tanθ is positive.

tan θ   =√8