Find sin of theta and tan of theta if cos of theta is equal to two thirds and cot of theta is greater than zero

Question

Find sinθ and tanθ if cosθ = 2/3 and cotθ > 0

Answer 1

cot θ > 0, θ is in either QI or QIII

cos θ = 2/3, θ is in either QI or QIV

To satisfy both, θ is in QI

 

Now use Pythagoras to determine sine and tant.