If the maximum value of (3\sin \theta+4\cos \theta) is (M), what is (M)?

Question

Answer and explanation

Correct answer: (5)

The maximum of (a\sin \theta+b\cos \theta) is ( \sqrt{a^2+b^2}), so (M=5). In exams add the squares of coefficients.

What is the correct answer to this question?

(5)

Why is this the correct answer?

The maximum of (a\sin \theta+b\cos \theta) is ( \sqrt{a^2+b^2}), so (M=5). In exams add the squares of coefficients.

Which subject and chapter does this question cover?

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