If (\cot x=\frac{5}{12}) and (x) is in the first quadrant, what is the value of (\cos x)?

Question

Answer and explanation

Correct answer: (\frac{5}{13})

For (\cot x=\frac{5}{12}), take adjacent as (5) and opposite as (12). The hypotenuse is (13), so (\cos x=\frac{5}{13}).

What is the correct answer to this question?

(\frac{5}{13})

Why is this the correct answer?

For (\cot x=\frac{5}{12}), take adjacent as (5) and opposite as (12). The hypotenuse is (13), so (\cos x=\frac{5}{13}).

Which subject and chapter does this question cover?

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