AP EAMCET · Maths · Functions
The period of \(f(x)=\cos \left(\frac{x}{3}\right)+\sin \left(\frac{x}{2}\right)\) is
- A \(2 \pi\)
- B \(4 \pi\)
- C \(8 \pi\)
- D \(12 \pi\)
Answer & Solution
Correct Answer
(D) \(12 \pi\)
Step-by-step Solution
Detailed explanation
Given, \(f(x)=\cos \left(\frac{x}{3}\right)+\sin \left(\frac{x}{2}\right)\) Period of \(\cos x\) and \(\sin x\) are \(2 \pi\).…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- Given, \(\mathbf{a}=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}}\) and \(a\) unit vector \(\mathbf{c}\) are coplanar. If \(\mathbf{c}\) is perpendicular to a, then \(\mathbf{c}=\)AP EAMCET 2019 Medium
- The sum of the non-real roots of \(\left(p^2+p-3\right)\left(p^2+p-2\right)-12=0\) isAP EAMCET 2018 Easy
- The equation of the line through the point \((2,3)\) such that its \(x\)-intercept is twice its \(y\)-intecept is ......... .AP EAMCET 2020 Easy
- A true statement among the following identities isAP EAMCET 2022 Medium
- If \(l, m, n\) are in arithmetic progression, then the straight line \(l x+m y+n=0\) will pass through the pointAP EAMCET 2008 Medium
- The orthocentre of the triangle formed by the lines \(x+y=1\) and \(2 y^2-x y-6 x^2=0\) isAP EAMCET 2016 Medium
More PYQs from AP EAMCET
- The correct order of \(\mathrm{C}-\mathrm{O}\) bond length in \(\mathrm{CO}, \mathrm{CO}_3^{2-}\), \(\mathrm{CO}_2\) isAP EAMCET 2023 Medium
- \(0.8 \mathrm{~mL}\) of acetic acid of density \(1.06 \mathrm{~g} \mathrm{~mL}^{-1}\) when dissolved in \(1 \mathrm{~kg}\) of water causes a depression in freezing point by \(0.0325^{\circ} \mathrm{C}\). The Van't Hoff factor is:
\(\left(\mathrm{K}_{\mathrm{f}} \text { of } \mathrm{H}_2 \mathrm{O}=1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right)\)AP EAMCET 2017 Medium - If \(z_1=2+3 i, z_2=4-5 i\) and \(z_3\) are are three points in the Argand plane such that \(5 \mathrm{z}_1+\mathrm{xz}_2+\mathrm{yz}_3=0\) \((x, y \in \mathbb{R})\) and \(z_3\) is the midpoint of the segment joining the points \(\mathrm{z}_1\) and \(\mathrm{z}_2\) then \(\mathrm{x}+\mathrm{y}=\)AP EAMCET 2023 Medium
- The amplitudes of a damped harmonic oscillator after 2 and 4 seconds are \(A_1\) and \(A_2\) respectively. If the initial amplitude of the oscillator is \(\mathrm{A}_0\), thenAP EAMCET 2023 Hard
- For a non-zero real number \(x\), if the points with position vectors
\((x-u) \hat{\mathbf{i}}+x \hat{\mathbf{j}}+x \hat{\mathbf{k}}, x \hat{\mathbf{i}}+(x-v) \hat{\mathbf{j}}+x \hat{\mathbf{k}}\),
\(x \hat{\mathbf{i}}+x \hat{\mathbf{j}}+(x-w) \hat{\mathbf{k}}\) and
\((x-1) \hat{\mathbf{i}}+(x-1) \hat{\mathbf{j}}+(x-1) \hat{\mathbf{k}}\) are coplanar, thenAP EAMCET 2019 Easy - A gas is compressed from a volume of \(2 \mathrm{~m}^3\) to a volume of \(1 \mathrm{~m}^3\) at a constant pressure of \(100 \mathrm{Nm}^{-2}\). Then it is heated at constant volume by supplying \(150 \mathrm{~J}\) of energy. As a result, the internal energy of the gasAP EAMCET 2020 Medium