Sketch the graphs of the following functions:
(i) f(x) = 2 sin x, 0 ≤ x ≤ π
(ii) $g(x)=3 \sin \left(x-\frac{\pi}{4}\right), 0 \leq x \leq \frac{5 \pi}{4}$
(iii) $h(x)=2 \sin 3 x, 0 \leq x \leq \frac{2 \pi}{3}$
(iv) $\phi(x)=2 \sin \left(2 x-\frac{\pi}{3}\right), 0 \leq x \leq \frac{7 \pi}{5}$
(v) $\psi(x)=4 \sin 3\left(x-\frac{\pi}{4}\right), 0 \leq x \leq 2 \pi$
(vi) $\theta(x)=\sin \left(\frac{x}{2}-\frac{\pi}{4}\right), 0 \leq x \leq 4 \pi$
(vii) $u(x)=\sin ^{2} x, 0 \leq x \leq 2 \pi v(x)=|\sin x|, 0 \leq x \leq 2 \pi$
(viii) $f(x)=2 \sin \pi x, 0 \leq x \leq 2$
The graphs of the following functions are:
(i) f(x) = 2 sin x, 0 ≤ x ≤ π
(ii) $g(x)=3 \sin \left(x-\frac{\pi}{4}\right), 0 \leq x \leq \frac{5 \pi}{4}$
(iii) $h(x)=2 \sin 3 x, 0 \leq x \leq \frac{2 \pi}{3}$
(iv) $\phi(x)=2 \sin \left(2 x-\frac{\pi}{3}\right), 0 \leq x \leq \frac{7 \pi}{5}$
(v) $\psi(x)=4 \sin 3\left(x-\frac{\pi}{4}\right), 0 \leq x \leq 2 \pi$
(vi) $\theta(x)=\sin \left(\frac{x}{2}-\frac{\pi}{4}\right), 0 \leq x \leq 4 \pi$
(vii) $u(x)=\sin ^{2} x, 0 \leq x \leq 2 \pi$
$v(x)=|\sin x|, 0 \leq x \leq 2 \pi$
(viii) $f(x)=2 \sin \pi x, 0 \leq x \leq 2$
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,