ECAT Mathematics Chapter 13 Trigonometric Functions and their Graphs Online Test With Answers

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ECAT Mathematics Chapter 13 Trigonometric Functions and their Graphs Online Test

Sr. # Questions Answers Choice
1 The period of 3 sin x is 2π 9π 3π 5π
2 The period of cos(7x-5) is π/7 7π/2 π/2 2π/7
3 The period of|sin⁡2x| is π/2 -π/2 π π/3
4 The period of|sin⁡2x| is π/2 -π/2 π π/3
5 The period of 2 cos x is 30π 7π 5π 2π
6 The period of tan x/7 is 3π 7π 15π 5π
7 Sine is a periodic function and its period is ______ <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span> s 2<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span> <div style="text-align: start;"><span style="text-align: center; background-color: rgb(255, 255, 255);">4</span><i style="text-align: center;">π</i></div>
8 Tangent is a periodic function and its period is ______ 2<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span> 3<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span> <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span> 4<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>
9 The period of tan [x/3] is ______ 2<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span> <div style="text-align: start;"><span style="text-align: center; background-color: rgb(255, 255, 255);">4</span><i style="text-align: center;">π</i></div> <div style="text-align: start;"><span style="text-align: center; background-color: rgb(255, 255, 255);">3</span><i style="text-align: center;">π</i></div> 5<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>
10 The period of cosec 10x is _______
11 tan (π-θ) = ______ - sin<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span> - tan<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span> - cos<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span> - cot<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
12 The Domain of y = sin x is ______ Set of real numbers Rational Irrational no. None of above
13 The range of y = sin x is ______ [1, -1] [-1, 1] [0, -1] [-<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>+<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>]
14 Domain of y = cot x = ______
15 The range of y = cot x = ______ -<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>&gt; y &gt; +<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span> -<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>&gt; x &gt; +<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span> -<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>∞ &lt;</i></span>y &lt; +<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span> None of above
16 Domain of tangent function is
17 The function sine and Cosine have the closed internal as their range [1, 0] [-1, 1] [0, 1] [-1, 2]
18 Period of Cotangent function is π -π 0 -2π
19 Period of Tangent function is 0° -<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span> <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span> 2<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>
20 Period of Sine and Cosine function is <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span> 2<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span> -<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span> -2<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>
21 Range of cosecθis W - {y | -1 &lt; y &lt; 1} R - {y | -1 &lt; y &lt; 1} O - {y | -1 &lt; y &lt; 1} R
22 Range of secθis Z - {x | -1 &lt; x &lt; 1} W - {x | -1 &lt; x &lt; 1} R - {x | -1 &lt; x &lt; 1} R
23 Domain of cosecθis
24 Domain of secθis
25 Range of cotθis (+<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>to -<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>) (-1 to +1) (-5 to +5) Set of even numbers only
26 Range of tanθis Set of complex numbers Set of real numbers Set of odd numbers Set of positive integers only
27 Domain of cotθis
28 Range of cosθis
29 Range of sinθis
30 Domain of cosθis Set of odd numbers Set of integers Set of real numbers Set of complex numbers
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