If the minimum value of (5\cos \theta-12\sin \theta) is (m), what is (m)?

Question

Answer and explanation

Correct answer: (-13)

The amplitude is ( \sqrt{5^2+(-12)^2}=13), so the minimum is (-13). In exams maximum is positive amplitude and minimum is negative amplitude.

What is the correct answer to this question?

(-13)

Why is this the correct answer?

The amplitude is ( \sqrt{5^2+(-12)^2}=13), so the minimum is (-13). In exams maximum is positive amplitude and minimum is negative amplitude.

Which subject and chapter does this question cover?

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