Trigonometrymedium · Past Paper

If tan θ = a/b, find the value of (cos θ + sin θ) / (cos θ - sin θ).

A(b+a)/(b-a)
B(a+b)/(a-b)
Ca/b
D1

✓ Correct Answer: A(b+a)/(b-a)

Divide by cos θ: (1 + tan θ)/(1 - tan θ) = (1 + a/b)/(1 - a/b) = (b+a)/(b-a).

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