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Punjab (PTB) · Chapter test · Free

9th Class Mathematics Chapter 6 TestUNIT 6: Trigonometry

30 marks · 40 minutes · 21 questions. Covers: UNIT 6: Trigonometry.

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9th Class Mathematics Chapter 6 Test

9th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. Convert  radians to degrees. 

  2. What is the measure of a right angle in radians? 

  3. The value of in radians:

    1. 1.11

  4. Co-terminal of :

  5. Convert 45o 45' 45'' to decimal degrees.

    1. 45.1234o

    2. 45.4567o

    3. 45.7625o

    4. 45.9876o

  6. Convert 15o to radians. 

  7. Convert to degrees, minutes, and seconds.

  8. Reciprocal of sin

    1. sec 

    2. cosec

    3. cot

    4. tan

  9. In a right-angled triangle, if one side is 2 cm and the hypotenuse is 4 cm, what is the length of the other side?

    1. 3 cm

    2. 20 cm

    3.  cm

    4. 4 cm

  10. What is the measure of a straight angle in radians?

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Find in which quadrant the following angles lie. Write a co-terminal angle for the following:

  2. Convert the following into decimal degrees:

  3. Convert degree to radian:

  4. How many trigonometric ratios names write.

  5. Find the value of the following trigonometric ratios without using the calculator:

  6. Convert the following into degrees, minutes, and seconds:

  7. Convert  to degrees, minutes and seconds.

  8. If arc length of a sector of radius 5 cm is 11 cm, find the angle subtended by the arc in radians and degrees.

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Find the unknown side and angles of the following triangle.

  2. A ladder makes an angle of 60o with the ground and reaches a height of 10m along the wall. Find the length of the ladder.

  3. Find the measure of an angle of elevation of the Sun, if a tower 300m high casts a shadow 450 m long.