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 cot 8x is π/10 9π/7 π/9 π/8
2 The period of sin x/2 = Cos x/3 is 2p 12p 13p 7p
3 What is the period of sin 2x/3 cos 4x=? π 2π π/2 π/3
4 What is the period of tan 4/3 x =? π/4 4π/3 7π/4 3π/4
5 What is the period of cos 6x =? π/2 π/3 π/4 π
6 What is the period of 6 sin x=? π -π π/2 2π
7 What is the period of 5 cot x=? π -π π/2 2π
8 The period of the function csc x/4 us 4x π/4 8π π/8
9 The range of the tangent function is all real numbers -1 ≤ x ≥ 1 natural number z<sup>+</sup>
10 2π is the period of sin𝜽 tan𝜽 cot𝜽 all circular function
11 Tangent is ...............function Inverse one-one in-to Periodic
12 The period of 3 sin x is 2π 9π 3π 5π
13 The period of cos(7x-5) is π/7 7π/2 π/2 2π/7
14 The period of|sin⁡2x| is π/2 -π/2 π π/3
15 The period of|sin⁡2x| is π/2 -π/2 π π/3
16 The period of 2 cos x is 30π 7π 5π 2π
17 The period of tan x/7 is 3π 7π 15π 5π
18 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>
19 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>
20 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>
21 The period of cosec 10x is _______
22 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>
23 The Domain of y = sin x is ______ Set of real numbers Rational Irrational no. None of above
24 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>]
25 Domain of y = cot x = ______
26 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
27 Domain of tangent function is
28 The function sine and Cosine have the closed internal as their range [1, 0] [-1, 1] [0, 1] [-1, 2]
29 Period of Cotangent function is π -π 0 -2π
30 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>
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