Matric Part 2/10th Class Mathematics Chapter 7 Short Questions With Answer Preparation for Unit 7 (Introduction to Trigonometry)

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What are circular or trigonometric functions ?

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Convert 25°30' to decimal degrees.

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How are draw angle in negative measure ?

• Ans 1: If the rotation of the ray is clock wise, the angle has negative measure.

Define vertex.

• Ans 1: The common end point of arms that form an angle is called vertex.

Define angle in standard position.

• Ans 1: A general angle is said to be in standard position if its vertex is at the origin and its initial side is directed along the positive direction of the x-axis of a rectangular coordinate system.

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Convert 15° to radians.

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Define arc.

• Ans 1: A part of the circumference of a circle is called an arc.

How many minutes are in two right angles ?

• Ans 1: There are (10800)' in two right angles.

Convert 25°30' to decimal degrees.

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Define quadrantal angles.

• Ans 1: If the terminal side of an angle in standard position falls on x-axis or y-axis, then it is called a quadrantal angle.

Find the value of sin 315° without using table or calculator.

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What is sector of the circle ?

• Ans 1: A part of the circle bounded by an arc and a chord is called segment of a circle.

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Convert 12°23'35" to decimal degrees correct to three decimal places.

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Define segment of a circle.

• Ans 1: A part of the circle bounded by an arc and a chord is called segment of a circle.

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Find the area of the sector of a circle of radius 16cm if the angle at the centre in 60°

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What is one revolution ?

• Ans 1: An angle of 360° denotes complete circle or one revolution.

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Find the values cos 540° without using table or calculator.

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Define an angle.

• Ans 1: An angle is defined as the union of two non-Collinear rays with some common end point. The rays are called arms of the angle and the common end point is known as vertex of the angle.

What is the sexagesimal system of measurement of angles ?

• Ans 1: The sexagesimal system of measurement is the measurement of angle in (degree, minute and second).

What is sector of the circle ?

• Ans 1: A part of the circle bounded by an arc and a chord is called segment of a circle.

Define angle in standard position.

• Ans 1: A general angle is said to be in standard position if its vertex is at the origin and its initial side is directed along the positive direction of the x-axis of a rectangular coordinate system.

Express 6.1 radians into degrees.

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Define coterminal angle.

• Ans 1: Two or more than two angles with the same initial and terminal sides are called coterminal angles.

Define angle in standard position.

• Ans 1: A general angle is said to be in standard position if its vertex is at the origin and its initial side is directed along the positive direction of the x-axis of a rectangular coordinate system.

Convert 25°30' to decimal degrees.

• Ans 1:

Find the values cos 540° without using table or calculator.

• Ans 1:

Define quadrantal angles.

• Ans 1: If the terminal side of an angle in standard position falls on x-axis or y-axis, then it is called a quadrantal angle.

Convert 124°22' into radian.

• Ans 1:

How we draw angle in positive measure ?

• Ans 1: If the rotation of the ray is anti-clock wise, the angle has positive measure.

Define arms of an angle.

• Ans 1: The rays that form an angle are called arms of an angle

• Ans 1:

Define coterminal angle.

• Ans 1: Two or more than two angles with the same initial and terminal sides are called coterminal angles.

Define radian measure of an angle.

• Ans 1: The angle subtended at the centre of the circle by an arc, whose length is equal to the radius of the circle, is called one radian.