ECAT Mathematics Online Test With Answers

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ECAT Mathematics Online Test

Sr. # Questions Answers Choice
1 If sin 6θ+ sin 4θ+ sin 2θ, thenθ=
2 The number of values of x in the interval [0, 5π] satisfying the equation 3 sin2x - 7 sinx + 2 = 0 is 0 5 6 10
3
4
5 cotθ= sin 2θifθ=
6 cotθ= sin 2θifθ=
7
8
9 No solution One real solution More than one real solution None of these
10 If 4 sin2θ=1, then values ofθare
11 30° 45° 60° 75°
12 The general solution of tan 3x = 1 is
13 If Sin A = sin B, cos A = cos B, then the value of A in terms of B is
14 Sec-1x = Cos<sup>-1</sup>1/x cosec<sup>-1</sup>1/x Cos<sup>-1</sup>(-x) Tan<sup>-1</sup>x
15 Sin-1(-x)= Cos<sup>-1</sup>1/x - Sin<sup>-1</sup>X Cot<sup>-1</sup>X None of these
16 Tan-11/x = ______ sin x sec<sup>-1</sup>X cot<sup>-1</sup>X None of these
17 sin-1[-1/2] = ______
18 The number of triplets (x, y, z) satisfying sin-1x +cos-1y + sin-1z = 2π is 0 2 1 Infinite
19 If tan-13 + tan-1x = tan-18, then x= 5 1/5 5/14 14/5
20
21
22 <i style="text-align: center;">π / 3</i> <i style="text-align: center;">π / 4</i> <i style="text-align: center;">π / 6</i> 0
23 <i style="text-align: center;">π</i> <i style="text-align: center;">π / 2</i> <i style="text-align: center;">π / 3</i> <i style="text-align: center;">π / 4</i>
24 sin[cot-1{cos(tan-1x)}]=
25 tan(cot-1x) is equal to cot(tan<sup>-1</sup>x) tan x secon x None of these
26 <i style="text-align: center;">π / 4</i> <i style="text-align: center;">π / 6</i> <i style="text-align: center;">π / 3</i> 0
27 <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 / 3</i></span> <i style="text-align: center;">π / 4</i> <i style="text-align: center;">π / 2</i> <i style="text-align: center;">π</i>
28 16 / 7 6 / 17 7 / 16 None of these
29 The solution set of the equation tan-1x - cot-1x = cos-1(2 - x) is [0, 1] [-1, 1] [1, 3] None of these
30 2 5 7 None of these
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