If \(\sin x=\frac{5}{13}\) and (x) is in the first quadrant, what is the value of (\tan x)?

Question

Answer and explanation

Correct answer: \(\frac{5}{12}\)

\(\cos x=\frac{12}{13}\) and \(\tan x=\frac{\sin x}{\cos x}\). Hence \(\tan x=\frac{5}{12}\).

What is the correct answer to this question?

\(\frac{5}{12}\)

Why is this the correct answer?

\(\cos x=\frac{12}{13}\) and \(\tan x=\frac{\sin x}{\cos x}\). Hence \(\tan x=\frac{5}{12}\).

Which subject and chapter does this question cover?

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