Question

If tan θ = a/b, show that (a sin θ - b cos θ)/(a sin θ + b cos θ) = (a² - b²)/a² + b²

Answer 1

It is given that tan θ = a/b

Dividing the numerator and denominator by cos θ, we get:

Now, substituting the value of tan θ in the above expression, we get:

Hence proved.