Important Questions of Trigonometric Functions Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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11. Find the degree measure corresponding to the following radian measure:

11 over 16
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12. Find the degree measure corresponding to the following radian measure:

space space space space space fraction numerator 7 straight pi over denominator 6 end fraction


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13.

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

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14.

A wheel rotates through an angle of straight pi over 30 radians in one second. How many revolutions will it make in 5 minutes?

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15.

The difference between two acute angles of a right angled triangle is fraction numerator 2 straight pi over denominator 5 end fraction radians. Express the angles in: (a) degrees (b) radians.

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16. If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.
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17.

Find the degree measure of the angle subtended at the centre of a circle of radius 100

cm by an arc of length 22 cm (Use straight pi space equals space 22 over 7).

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18. A circular wire of radius 7.5 cm is cut and bent so as to lie along the circumference of a circular hoop whose radius is 120 cm. Find, in degrees, the angle which is subtended at the centre of this hoop.
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19. A railway train is travelling on a circular track of 1500 m radius at the speed of 66 km/h. Through what angle (in degrees) does it turn in 10 seconds ?
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20.

An athlete runs 4 times around a circular running path to describe 1760 metres.

What is the angle in (i) radians, (ii) degrees subtended at the centre of the circle, when

he had run a distance of 308 metres?  open parentheses Take space straight pi space equals space 22 over 7 close parentheses

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