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Introduction to trigonometry

Written by Hassan Raza (Mathematics)

10 Class 10 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. sin 30 degrees equals:

    • 1 0
    • 2 1/2
    • 3 the square root of 3 over 2
    • 4 1
    Show answer

    Correct answer: 1/2

    sin 30 = 1/2.

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  2. cos 60 degrees equals:

    • 1 1
    • 2 0
    • 3 the square root of 3
    • 4 1/2
    Show answer

    Correct answer: 1/2

    cos 60 = 1/2.

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  3. tan 45 degrees equals:

    • 1 0
    • 2 2
    • 3 1
    • 4 undefined
    Show answer

    Correct answer: 1

    tan 45 = 1.

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  4. sin squared theta plus cos squared theta equals:

    • 1 2
    • 2 0
    • 3 tan theta
    • 4 1
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    Correct answer: 1

    This is the basic trigonometric identity.

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  5. In a right triangle, sin of an angle equals:

    • 1 Perpendicular / hypotenuse
    • 2 Hypotenuse / base
    • 3 Base / hypotenuse
    • 4 Perpendicular / base
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    Correct answer: Perpendicular / hypotenuse

    sin = opposite / hypotenuse.

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  6. A ladder 10 m long leans against a wall making 30 degrees with the ground. How high does it reach?

    • 1 5 m
    • 2 10 m
    • 3 20 m
    • 4 8.7 m
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    Correct answer: 5 m

    Height = 10 x sin 30 = 5 m.

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  7. sin 60 degrees equals:

    • 1 0
    • 2 The square root of 3 over 2
    • 3 1/2
    • 4 1
    Show answer

    Correct answer: The square root of 3 over 2

    sin 60 = root 3 / 2.

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  8. cos 0 degrees equals:

    • 1 1/2
    • 2 0
    • 3 1
    • 4 -1
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    Correct answer: 1

    cos 0 = 1.

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  9. tan 60 degrees equals:

    • 1 1/the square root of 3
    • 2 The square root of 3
    • 3 1
    • 4 0
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    Correct answer: The square root of 3

    tan 60 = root 3.

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  10. In a right triangle, the longest side is the:

    • 1 Median
    • 2 Hypotenuse
    • 3 Perpendicular
    • 4 Base
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    Correct answer: Hypotenuse

    The side opposite the right angle.

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