What is the maximum value of (5\sin x-12\cos x)?
Answer and explanation
Correct answer: (13)
The maximum value of (a\sin x+b\cos x) is (\sqrt{a^2+b^2}). So (\sqrt{5^2+(-12)^2}=13).
Frequently asked questions
What is the correct answer to this question?
(13)
Why is this the correct answer?
The maximum value of (a\sin x+b\cos x) is (\sqrt{a^2+b^2}). So (\sqrt{5^2+(-12)^2}=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.