Question # 1

If sin Θ + cosec Θ = 2, then sin² Θ + cosec² Θ =

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2

4

0

8

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

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

In circular system the angle is measured in:

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radians

degrees

degrees, minutes

degrees, seconds

If tan Θ > 0 and sin Θ < 0 then terminal arm of the angle lies in quadrant:

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I

II

III

IV

Which one is not a quadrant angle ?

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0°

90°

280°

270°

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30°

45°

60°

75°

(1 - cos²Θ) (1 + cot²Θ) =

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tan²Θ

0

1

-1

1 radian is equal to:

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180°

none of these

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 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

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

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

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I

II

III

IV

180° = _____________:

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π radians

1° is equal to:

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

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The quadrant of an angle Θ is determined by its:

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sign

value

ratio

magnitude

(1 - sin²Θ) (1 + tan²Θ) =

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0

1

Θ

-1

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

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I

II

III

IV

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