Question

Consider angle θ in Quadrant I, where cosθ = 513 . What is the value of sinθ?

Answer 1

12/13

Explanation:

According to SOH CAH TOA;

cos theta = adjacent/hyp = 5/13

adj = 5

hyp = 13

Get the opposite

opp = √13²-5²

opp = √169-25

opp = √144

opp = 12

Get sin theta

sin theta = opposite/hyp

sin theta = 12/13

Hence the value of sin theta is 12/13