MCQ
The function $f\left( x \right) = \left| {\sin \,4x} \right| + \left| {\cos \,2x} \right|$, is a periodic function with period
- A$2 \pi $
- B$\pi $
- ✓$\frac{\pi}{2}$
- D$\frac{\pi}{4}$
✓
Answer
Correct option: C.
$\frac{\pi}{2}$
c
$\left| {\sin \,x} \right| + \left| {\cos \,x} \right|$ is periodic with oeriod $\frac{\pi }{2}$.
$\left| {\sin \,x} \right| + \left| {\cos \,x} \right|$ is periodic with oeriod $\frac{\pi }{2}$.
Hence, $f\left( x \right) = \left| {\sin \,4x} \right| + \left| {\cos 2\,x} \right|$
is also periodic function with period $\frac{\pi }{2}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If $\text{A}=\begin{bmatrix}\text{n}&0&0\\0&\text{n}&0\\0&0&\text{n}\end{bmatrix}$ and $\text{B}=\begin{bmatrix}\text{a}_1&\text{a}_2&\text{a}_3\\\text{b}_1&\text{b}_2&\text{b}_3\\\text{c}_1&\text{c}_2&\text{c}_3\end{bmatrix},$ then $AB$ is equal to:
→If $R$ is a relation on the set $A = \{1, 2, 3\}$ given by $R = \{(1, 1), (2, 2), (3, 3)\},$ then $R$ is:
→If ${A^2} - A + I = 0$, then ${A^{ - 1}}$ =
→Area of the region between the curves $\text{x}^2+\text{y}^2=\pi,\text{y}=\sin\text{x}$ and $y-$axis in first quadrant is:
→If $A$ and $B$ are square matrices of same order and $|B| \neq 0$ then $(B^{-1}\,AB)^5$ is equal to
→$\int\limits_0^\pi {\,\frac{{\sin \left( {n + \frac{1}{2}} \right){\rm{ }}x}}{{\sin x}}} \,dx$, $(n \in N)$ equals
→If $P ( A )=0.8, P ( B )=0.5$ and $P ( B / A )=0.4$, then the value of $P ( A \cap B )$ is :
→Consider the $6 \times 6$ square in the figure. Let $A_1, \mathrm{~A}_2, \ldots, A_{49}$ be the points of intersections (dots in the picture) in some order. We say that $A_i$ and $A_j$ are friends if they are adjacent along a row or along a column. Assume that each point $A_i$ has an equal chance of being chosen.
→(image)
($1$) Let $p_i$ be the probability that a randomly chosen point has $i$ many friends, $i=0,1,2,3,4$. Let $X$ be a random variable such that for $i=0,1,2,3,4$, the probability $P(X=i)=p_i$. Then the value of $7 E(X)$ is
($2$) Two distinct points are chosen randomly out of the points $A_1, A_2, \ldots, A_{4 g}$. Let $p$ be the probability that they are friends. Then the value of $7 p$ is
Consider a binary operation $∗$ on $N$ defined as $a^ ∗ b=a^3+b^3$
→$\mathop \smallint \limits_3^6 \frac{{\sqrt x }}{{\sqrt {9 - x} + \sqrt x }}\;dx = $
→