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Class 12MathematicsTrigonometric FunctionsTrigonometric functions and their propertiesHard
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If (f(x)=\sin 3x+\cos 5x), what is the fundamental period of (f(x))?

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.

Related tags

Trigonometric-FunctionsPeriodPropertiesTrigonometric Functions And Their PropertiesTrigonometric FunctionsMathematicsClass 12 Mcq
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10 more MCQs
  1. 1If \(\theta=0^\circ\), what is the value of \(\sin \theta\)?
  2. 2If \(\theta=0^\circ\), what is the value of \(\cos \theta\)?
  3. 3If \(\theta=45^\circ\), what is the value of \(\tan \theta\)?
  4. 4Which trigonometric function is the reciprocal of \(\sin \theta\)?
  5. 5Which trigonometric function is the reciprocal of (\cos \theta)?
  6. 6Which trigonometric function is the reciprocal of \(\tan\theta\)?
  7. 7What is (\tan \theta) equal to?
  8. 8What is (\cot \theta) equal to?
  9. 9What is the value of the basic identity (\sin^2 \theta+\cos^2 \theta)?
  10. 10What is the value of (\sec^2 \theta-\tan^2 \theta)?
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