Question

find the value of cos theta if sin theta is equal to a by b​

Answer 1

Answer:

Hey mate ☺️

If sin theta =a/b

Then, sinθ=a/b

∴, cosθ=√(1-sin²θ) [∵, sin²θ+cos²θ=1]

or, cosθ=√(1-a²/b²)

or, cosθ=√{(b²-a²)/b²}

or, cosθ=√(b²-a²)/b

Hope it helps you ☺️✌️✌️

Answer 2

Answer:

sin theta =a \ b

cos² theta + sin²theta = 1

cos theta =. √ 1 - a² /b²

= √( b² - a²)/ b²