Question # 1

In a circle of radius r, an arc of length kr will subtend in angle of __________ radians at the center:

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s

k

r

Θ

In circular system the angle is measured in:

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radians

degrees

degrees, minutes

degrees, seconds

1 radian is equal to:

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180°

none of these

The number of radius in the angle subtended by an arc of a circle at the center =

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radius × arc

radius - arc

If cosec Θ > 0 and cot Θ < 0, then terminal arm of the angle lies in:

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I

II

III

IV

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 _____________:

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initial position

finalposition

normalposition

standardposition

The area of a sector of a circular region of radius r with length of the arc of the sector equal to s is-----------:

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rΘ

rs

cos⁴Θ - sin⁴Θ =

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sin 2Θ

cos 2Θ

tan 2Θ

sec 2Θ

- 72° = ___________________:

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none of these

The angle between 0° and 360° and co-terminal with - 620° is:

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100°

200°

300°

320°

Which one is a quadrant angle ?

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60°

180°

120°

30°

If sin α < 0 and cos α > 0, then α lies in:

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I

II

III

IV

(1 - sin²Θ) (1 + tan²Θ) =

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0

1

Θ

-1

The system of measurement in which the angle is measured in degrees, and its sub-units, minutes and seconds is called the:

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circular system

sexagesimal system

decimal system

degree system

If s denotes the length of the arc intercepted on a circle of radius r by a central angle of α radians, then:

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s = rα

s = r + α

none of these

The quadrant of an angle Θ is determined by its:

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sign

value

ratio

magnitude

(1 - cos²Θ) (1 + cot²Θ) =

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tan²Θ

0

1

-1

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To convert any angle in radians into degrees, we multiply the measure by:

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In a triangle if α > 45°, ß > 30° then Γ cannot be:

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90°

100°

120°

10°

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