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Punjab (PTB) · Chapter test · Free

1st Year Mathematics Chapter 10 TestUNIT 10: Trigonometric Identities

30 marks · 40 minutes · 21 questions. Covers: UNIT 10: Trigonometric Identities.

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1st Year Mathematics Chapter 10 Test

1st Year · Mathematics · Punjab (PTB)

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

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

  1. Sin 196o =......:

    1. Sin 16o

    2. Cos 33o

    3. Cos 16o

    4. -Sin 16o

  2. =?

    1. Tan 

    2. - tan 

    3. - tan 

    4. Cot 

  3. :

    1. Sin 

    2. Cot 

    3. - Cot 

    4. Tan 

  4. :

    1. Tan 11o

    2. Cot 11o

    3. Tan 56o

    4. Cot 56o

  5. =......:

    1. cos 

    2. Sin 

    3. -cos 

    4. - sin 

  6. 2sin 7. cos3 is equal to ......:

    1. Sin 10+sin4

    2. Sin 10 - sin 4

    3. 4 cos 3-3cos 

    4. Cos 10-cos 4

  7. The angles 90o , 180o, 270o, 360o are the ...... angle:

    1. Composite

    2. Half

    3. Quadrantal

    4. Allied

  8. On simplifying the expansion , the result is:

    1. Sin 

    2. Cot 

    3. Tan 

    4. Sec 

  9. Cos2 =......:

  10. Tan 2 =......:

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

  1. Without using the table, find the value of: cos (-240o).

  2. If are the angles of a triangle ABC, then prove that:

  3. Find distance between the following point: P(cos x, cos y), Q (sin x , sin y)

  4. Find the values of sin 2, cos2 and tan2, when: .

  5. If are the angles of a triangle ABC, then prove that:

  6. Without using the table, find the value of: cos (-1230o)

  7. Without using table find the values of the following: tan 105o

  8. Prove the following: tan 150o cot 330o - 2sec 135o cosec 225o =-3

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

  1. Prove that:

  2. If are the angles of , Prove that: .

  3. Show that .