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Introduction to trigonometry

6 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
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    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
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    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
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    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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