Graphs of General Trigonometric Functions - Practice Questions & MCQ

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)

Cosecant Function

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

Domain is R - $\{\mathrm{n} \pi, \mathrm{n} \in \mathrm{I}$ (Integers) $\}$
Range is $\mathrm{R}-(-1,1)$
Period is $2 \pi$

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 $\mathrm{R}-(-1,1)$
Period is $2 \pi$

Cotangent Function

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

Domain is R - $\{\mathrm{n} \pi, \mathrm{n} \in \mathrm{I}$ (Integers) $\}$
Range is $R$
Period is $2 \pi$