Question

if tan theata =a/b, find the value of cos theata + sin theata / cos theata - sin theata​

Answer 1

Given,

tanθ=ba

Consider,

(cosθ−sinθ)(cosθ+sinθ)

Divide both numerator and denominator by cosθ

i.e.,

cosθ(cosθ−sinθ)cosθ(cosθ+sinθ)=(1−tanθ)(1+tanθ)

=(1−ba)(1+ba)

=(b−a)(b+a)

Brainiest pls....