Question

if sin theta = b/a what is the value of cos theta​

Answer 1

sinθ = b/a = Perpendicular / Hypotenuse

Using Pythagoras Theorem,

Base = a^2 - b^2

cos θ = (a^2 - b^2) / a

Answer 2

Answer:

let theta be x

sinx=b/a

sinx=opposite side/hypotenuse side

by pythagorous theorem,

AC²=AB²+BC²

a²=b²+BC²

BC²=a²-b²

BC=√a²-b²

cosx=adjacent side/hypotenuse side

cosx=√a²-b²/a