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Punjab (PTB) · Chapter test · Free

1st Year Mathematics Chapter 11 TestUNIT 11: Trigonometric Functions and their Graphs

22 marks · 40 minutes · 18 questions. Covers: UNIT 11: Trigonometric Functions and their Graphs.

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1st Year Mathematics Chapter 11 Test

1st Year · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 22Time: 40 minutes

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

  1. Period of 2 cos 3x is equal to:

    3. 2

    4. None of these

  2. Period of  its:

    2. 4

    3. 2

    4. 8

  3. The trigonometric function are periodic so their curves repeat after a ......:

    1. Fixed interval

    2. Not fixed interval

    3. Both a and b

    4. None of these

  4. Cosine is periodic function of period of cos =?

    1. 2

    4. None

  5. Trignometric function are ......:

    1. discontinuous

    2. No circular function

    3. Periodic

    4. Not periodic

  6. Sine is a periodic function and its period is ......:

    3. 2

    4. None of these

  7. a+bcos(c+d) is type of ...... functions:

    1. Trigonometric

    2. Exponential

    3. Constant

    4. Sinusoidal

  8. The graphs of trigonometric functions are ......:

    1. Not continuous

    2. Line segments

    3. Smooth curves

    4. None of these

  9. Range of tan x is ......:

    1. -

    2. -

    3. -

    4. None

  10. The period of sin 2x is:

    4. None

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

  1. Find the maximum and minimum values of the following function:

  2. Find the maximum and minimum values of the following function:

  3. Determine whether the following functions are even, odd or neither odd nor even:

  4. A giant Ferris wheel has a diameter of 60 feet. The lowest point of the wheel is located 6 feet above the ground. The wheel completes one full revolution every 80 seconds. Made an equation that represent the height (t) of a rider on the Ferris wheel at any given time t.

  5. Solve graphically:

  6. Suppose the temperature T in degrees Fahrenheit of Lahore city in a month of December throughout the day can be modeled by the equation , where t is the time in hours. The temperature oscillates 8 degrees above and below an average temperature of 64 degrees. Find the temperature at t=9 hours?

  7. Find the maximum and minimum values of the following function: 2+3 sin x

  8. Find the periods of the following function: