If (f(x)=\sin 3x+\cos 5x), what is the fundamental period of (f(x))?
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Answer and explanation
Correct answer: ( 2\pi )
The periods of (\sin 3x) and (\cos 5x) are ( \frac{2\pi}{3} ) and ( \frac{2\pi}{5} ), whose common period is (2\pi). In exams, find each period separately first.
Frequently asked questions
What is the correct answer to this question?
( 2\pi )
Why is this the correct answer?
The periods of (\sin 3x) and (\cos 5x) are ( \frac{2\pi}{3} ) and ( \frac{2\pi}{5} ), whose common period is (2\pi). In exams, find each period separately first.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.
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