Mathematics FA Part 1 Online Test With Answers

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Mathematics FA Part 1 Online Test

Sr. # Questions Answers Choice
1 The angles 90°±Θ, 180°±Θ, 270°±Θ, 360°±Θ, are the: composite angles half angles quadrantal angles allied angles
2
3 tan (α+ß) =
4 tan (α - ß ) =
5 cos (α-ß) = cos α cos ß + sin α sin ß cos α cos ß - sin α sin ß cos α cos ß + sin α cos ß sin α cos ß - sin α sin ß
6 sin (α - ß) =
7 sin (α + ß) =
8 The distance between the points P(x1, y1) and Q(x2, y2) is:
9 If sin Θ + cosec Θ = 2, then sin2 Θ + cosec2 Θ = 2 4 0 8
10 (1 - cos2Θ) (1 + cot2Θ) = tan<sup>2</sup>Θ 0 1 -1
11 (1 - sin2Θ) (1 + tan2Θ) = 0 1 Θ -1
12 cos4Θ - sin4Θ = sin 2Θ cos 2Θ tan 2Θ sec 2Θ
13 If the initial side of an angle is the positive x-axis and the vertex is at the origin, the angle is said to be in the _____________: initial position finalposition normalposition standardposition
14 Which one is not a quadrant angle ? 90° 280° 270°
15 Which one is a quadrant angle ? 60° 180° 120° 30°
16 In a triangle if α > 45°, ß > 30° then Γ cannot be: 90° 100° 120° 10°
17 If sinΘ <0, cosΘ<0 then the terminal arm of the angle lies in quadrant: I II III IV
18 If sin α < 0 and cos α > 0, then α lies in: I II III IV
19 If cosec Θ > 0 and cot Θ < 0, then terminal arm of the angle lies in: I II III IV
20 If tan Θ > 0 and sin Θ < 0 then terminal arm of the angle lies in quadrant: I II III IV
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