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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

    • 31 Questions around this concept.

    Solve by difficulty

    Range of  $f(x)=\sin|3x^3| \ \ x\epsilon R$

    The number of solutions of the equation $x+2 \tan x=\frac{\pi}{2}$ in the interval $[0,2 \pi]$ is :

    Which of the following can be a graph of f(x ) = $\tan 3 x ?$

    $\cos x<\frac{1}{2}$ for $x$ in the interval $(0,2 \pi):$

    $\sin x>\frac{1}{2}$ for $x$ in the interval $(-2 \pi, 2 \pi)$ :

    If $4\sin ^{2}\alpha =1,$ then the values of alpha are

    What is the solution of $cotx$ $>1$ in the interval $(0,2 \pi)$

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    What is the solution set of the equation $\csc x>1$ in the interval $[0,2 \pi$ ]?

    What is the solution set of $\sec \mathrm{x}>2$ in the interval $x \epsilon[0, \pi]$ ?

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    For what x (x is in 2nd quadrant) such that $0< cosec\, x\; < 2$?

    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

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

     

    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 $2 \pi$

    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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