Question

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

Answer 1

Answer:

sinθ=a/b

∴, cosθ=√(1-sin²θ) [∵, sin²θ+cos²θ=1]

or, cosθ=√(1-a²/b²)

or, cosθ=√{(b²-a²)/b²}

or, cosθ=√(b²-a²)/b Ans.