Trigonometric Function questions with solutions

Showing 1–10 of 85 questions

• MCQmediumMathematical tools and vectorTrigonometric Function

  From a point on the ground, the angle of elevation of the top of a tower is 60°. From another point 20 m farther away on the same straight line, the angle is 30°. Find the distance of the nearer point from the tower.

  Options

  • Option A

    5 m

  • Option B

    10 m

  • Option C

    15 m

  • Option D

    20 m

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• MatchmediumMathematical tools and vectorTrigonometric Function

  Match each trigonometric value in List 1 with List 2.

  List 1

  1. sin120°

  2. cos225°

  3. tan135°

  4. sin330°

  List 2

  1. -1

  2. √3/2

  3. -1/√2

  4. -1/2

  Options

  • Option A

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

  • Option B

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

  • Option C

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

  • Option D

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

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• MCQmediumMathematical tools and vectorTrigonometric Function

  Evaluate sin20°cos40° + cos20°sin40°.

  Options

  • Option A

    1/2

  • Option B

    √3/2

  • Option C

    1/√2

  • Option D

    1

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• MCQmediumMathematical tools and vectorTrigonometric Function

  Evaluate (1-cos60°)/sin60°.

  Options

  • Option A

    1/√3

  • Option B

    √3

  • Option C

    1/2

  • Option D

    1

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• MCQmediumMathematical tools and vectorTrigonometric Function

  A tree breaks due to a storm and its top touches the ground 8 m from the foot of the tree. The broken part makes an angle of 30° with the ground. If the breaking point is at height h, find h.

  Options

  • Option A

    8/√3 m

  • Option B

    4√3 m

  • Option C

    8√3 m

  • Option D

    16 m

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• IntegermediumMathematical tools and vectorTrigonometric Function

  A 20 m long rope is tied from the top of a vertical pole to a point on the ground. The rope makes an angle of 30° with the ground. Find the height of the pole in metres.

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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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• MCQmediumMathematical tools and vectorTrigonometric Function

  Evaluate cos²22.5° - sin²22.5°.

  Options

  • Option A

    1/2

  • Option B

    1/√2

  • Option C

    √3/2

  • Option D

    1

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• MatchmediumMathematical tools and vectorTrigonometric Function

  Match the special-angle expressions in List 1 with their values.

  List 1

  1. sin15°

  2. cos15°

  3. tan15°

  4. tan75°

  List 2

  1. 2+√3

  2. (√6-√2)/4

  3. (√6+√2)/4

  4. 2-√3

  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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• MCQmediumMathematical tools and vectorTrigonometric Function

  Evaluate sin75°cos15° - cos75°sin15°.

  Options

  • Option A

    1/2

  • Option B

    √3/2

  • Option C

    1/√2

  • Option D

    1

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