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Trigonometric Function - (Concept)

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

$y=f(x)=\tan (x)$

 

 

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

Range is R

Cosecant Function

$y=f(x)=\operatorname{cosec}(x)$

 

Domain is $\mathrm{R}-\{\mathrm{n} \pi, \mathrm{n} \in \mathrm{I}$ (Integers) $\}$
Range is $\mathrm{R}-(1,1)$

Secant Function

$y=f(x)=\sec (x)$

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

Range is R - (-1, 1)

Cotangent Function

$y=f(x)=\cot (x)$

 

Domain is R - $\{\mathrm{n} \pi, \mathrm{n} \in \mathrm{I}$ (Integers) $\}$
Range is R

Exam Chapter
JEE MAIN Sets, Relations and Functions
Differential Calculus (Arihant)
Page No. : 106
Line : 23

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