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Graphs of General Trigonometric Functions - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • 15 Questions around this concept.

Solve by difficulty

The period of \mathrm{12cosec\left ( \frac{\pi }{2} \right ) } is.

The amplitude of  \mathrm{ y=6cos\ x } is?

Concepts Covered - 2

Graph of Trigonometric Function (Part 1)

Graph of Trigonometric Function (Part 1)

Sine Function 

y = f(x) = sin(x)

Domain is R

Range is  [-1, 1]

 

Cosine Function

y = f(x)= cos(x)

 

Domain is R 

Range is [-1, 1]

 

Tangent Function

y = f(x) = tan(x)

 


 

\mathrm{Domain\;is\;\;\mathbb{R}-\left \{ \frac{(2n+1)\pi}{2},\;n\in\;\mathbb{I} \right \}}

Range is R

Graph of Trigonometric Function (Part 2)

Graph of Trigonometric Function (Part 2)

Cosecant Function

y = f(x) = cosec(x)

 

Domain is R - {nπ, n ∈ I (Integers)}

Range is R - (-1, 1)

Period is 2π

 

Secant Function

y = f(x) = sec(x)

 


 

\mathrm{Domain\;is\;\;\mathbb{R}-\left \{ \frac{(2n+1)\pi}{2},\;n\in\;\mathbb{I} \right \}}

The range is R - (-1, 1)

Period is 2π

 

Cotangent Function

y = f(x) = cot(x)

 

 

 

Domain is R - {nπ, n ∈ I (Integers)}

Range is R

Period is 2π

Study it with Videos

Graph of Trigonometric Function (Part 1)
Graph of Trigonometric Function (Part 2)

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Books

Reference Books

Graph of Trigonometric Function (Part 1)

Mathematics for Joint Entrance Examination JEE (Advanced) : Trigonometry

Page No. : 2.13

Line : 45

Graph of Trigonometric Function (Part 2)

Mathematics for Joint Entrance Examination JEE (Advanced) : Trigonometry

Page No. : 2.14

Line : 4

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