If (\tan x=3), what is the value of (\frac{\sin x+\cos x}{\sin x-\cos x})?

Question

Answer and explanation

Correct answer: (2)

Dividing numerator and denominator by (\cos x) gives (\frac{\tan x+1}{\tan x-1}). Substituting (\tan x=3) gives (2).

What is the correct answer to this question?

(2)

Why is this the correct answer?

Dividing numerator and denominator by (\cos x) gives (\frac{\tan x+1}{\tan x-1}). Substituting (\tan x=3) gives (2).

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.