ECAT Pre General Science Mathematics Chapter 16 Solution of Trigonometric Equations Online Test With Answers

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ECAT Pre General Science Mathematics Chapter 16 Solution of Trigonometric Equations Online Test

Sr. # Questions Answers Choice
1 The number of points of intersection of two curves y = 2 sin x and y = 5x2+ 2x + 3 is 0 1 2 None of these
2 1 2 3 None of these
3
4 The general value ofθsatisfying the equation 2 sin2θ- 3 sinθ-2 = 0 is
5 From an empty set 1 2 >2
6 7 5 6 None of these
7 If sin (πcosθ) = cos (πsinθ), then which of the following is correct?
8 The solution of the equation cos2θ+ sinθ+ 1 = 0 lies in the interval
9 One root of the equation cos x - x + 1/2 = 0 lies in the interval
10 General solution of tan 5θ= cot 2θis
11 The smallest positive root of the equation tan x - x = 0 lies on
12 A finite non-empty set Null set Both a and b None of these
13 The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2π] is 0 1 2 3
14 If sin 6θ+ sin 4θ+ sin 2θ, thenθ=
15 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
16
17
18 cotθ= sin 2θifθ=
19 cotθ= sin 2θifθ=
20
21
22 No solution One real solution More than one real solution None of these
23 If 4 sin2θ=1, then values ofθare
24 30° 45° 60° 75°
25 The general solution of tan 3x = 1 is
26 If Sin A = sin B, cos A = cos B, then the value of A in terms of B is
27
28 By expressing cos 113° in terms of trigonometrical ratios, answer will be <span style="font-size: 0.95em;">− cos 76° = -0.7093</span> <span style="font-size: 0.95em;">− cos 65° = -0.4258</span> <span style="font-size: 0.95em;">− cos 67° = -0.3907</span> <span style="font-size: 0.95em;">− cos 62° = -0.8520</span>
29 By expressing sin 125° in terms of trigonometrical ratios, answer will be <span style="font-size: 0.95em;">sin 65° = 0.9128</span> <span style="font-size: 0.95em;">sin 55° = 0.8192</span> <span style="font-size: 0.95em;">sin 70° = 0.5384</span> <span style="font-size: 0.95em;">sin 72° = 0.1982</span>
30 Sine rule for a triangle states that <span style="font-size: 0.95em;">a/sin A = b/sin B = c/sin C</span> <span style="font-size: 0.95em;">sin A/a = sin B/b = sin C/c</span> <span style="font-size: 0.95em;">a/sin A + b/sin B + c/sin C</span> <span style="font-size: 0.95em;">2a/sin A = 2b/sin B = 2c/sin C</span>
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