Trigonometric Function questions with solutions

Showing 1–10 of 85 questions

• MCQmediumMathematical tools and vectorTrigonometric Function

  Evaluate [sin15°cos75° + cos15°sin75°]².

  Options

  • Option A

    0

  • Option B

    1/2

  • Option C

    1

  • Option D

    $\frac{3}{4}$

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• MatchmediumMathematical tools and vectorTrigonometric Function

  Match the special-angle expressions in List 1 with List 2.

  List 1

  1. sin22.5°

  2. cos22.5°

  3. tan22.5°

  4. cot22.5°

  List 2

  1. √2+1

  2. √(2-√2)/2

  3. √(2+√2)/2

  4. √2-1

  Options

  • Option A

    P-2, Q-3, R-4, S-1

  • Option B

    P-3, Q-2, R-1, S-4

  • Option C

    P-4, Q-1, R-2, S-3

  • Option D

    P-1, Q-4, R-3, S-2

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• IntegermediumMathematical tools and vectorTrigonometric Function

  A vertical tree casts a shadow of length 10 m when the Sun's elevation is 45°. Later, the shadow becomes 10√3 m. Find the new angle of elevation of the Sun in degrees.

  Your answer

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• IntegereasyMathematical tools and vectorTrigonometric Function

  A ladder 10 m long rests against a wall. Its foot is 6 m from the wall. Find the height, in metres, reached by the ladder.

  Your answer

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• IntegermediumMathematical tools and vectorTrigonometric Function

  Evaluate 2(sin²22.5°+cos²22.5°).

  Your answer

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• MCQmediumMathematical tools and vectorTrigonometric Function

  If tanθ=$\frac{3}{4}$, find cos2θ.

  Options

  • Option A

    7/25

  • Option B

    -7/25

  • Option C

    24/25

  • Option D

    1/25

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• MCQeasyMathematical tools and vectorTrigonometric Function

  A pole casts a shadow 10√3 m long when the angle of elevation of the Sun is 30°. Find the height of the pole.

  Options

  • Option A

    5 m

  • Option B

    10 m

  • Option C

    10√3 m

  • Option D

    20 m

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• MatchmediumMathematical tools and vectorTrigonometric Function

  Match each expression with the correct sum-to-product identity.

  List 1

  1. sinC+sinD

  2. sinC-sinD

  3. cosC+cosD

  4. cosC-cosD

  List 2

  1. 2cos((C+D)/2)sin((C-D)/2)

  2. -2sin((C+D)/2)sin((C-D)/2)

  3. 2sin((C+D)/2)cos((C-D)/2)

  4. 2cos((C+D)/2)cos((C-D)/2)

  Options

  • Option A

    P-3, Q-1, R-4, S-2

  • Option B

    P-1, Q-3, R-2, S-4

  • Option C

    P-4, Q-2, R-1, S-3

  • Option D

    P-2, Q-4, R-3, S-1

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• MatchmediumMathematical tools and vectorTrigonometric Function

  Match each value in List 1 with List 2.

  List 1

  1. sin210°

  2. cos300°

  3. tan240°

  4. cos180°

  List 2

  1. √3

  2. -1

  3. -1/2

  4. 1/2

  Options

  • Option A

    P-3, Q-4, R-1, S-2

  • Option B

    P-4, Q-3, R-2, S-1

  • Option C

    P-1, Q-2, R-4, S-3

  • Option D

    P-2, Q-1, R-3, S-4

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• MCQmediumMathematical tools and vectorTrigonometric Function

  If (1-cosθ)/sinθ = 1/√3 and 0°<θ<180°, find θ.

  Options

  • Option A

    30°

  • Option B

    45°

  • Option C

    60°

  • Option D

    90°

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