Trigonometric Functions · Class 11 · CBSE · Science Mathematics
What is the fundamental period of the function f(x) = sin(3x) + cos(3x)?
Practice question from Trigonometric Functions (Class 11 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
medium · MCQ · Q-FCDDD4
What is the fundamental period of the function f(x) = sin(3x) + cos(3x)?
- A.π/3
- B.2π/3Correct answer
- C.π
- D.2π
Solution
Both and have fundamental period . Their sum can be written as , which also has fundamental period .
More from Trigonometric Functions
- The value of sin(7π/6) is:
- How many solutions does the equation 2sin²x − 3sin x + 1 = 0 have in the interval [0, 2π]?
- For all real values of x for which the expressions are defined, prove that (1 − cos x)/sin x = sin x/(1 + cos x).
- If tan theta=-frac{5}{12} and theta lies in the fourth quadrant, then sin theta is:
Practise more Mathematics
Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.
Start practising freeFree to start · No credit card needed