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Trigonometry

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Pythagoras' theorem

Subtopic

Pythagoras' theorem under Trigonometry for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A triangle has side lengths 2020, 2121, and 2929. Which side is opposite the 90∘90^\circ angle?

    A.

    2020

    B.

    2929

    C.

    2121

    D.

    None, it is not a right triangle

  2. 2.

    If a right-angled triangle has a hypotenuse of 30 cm30\text{ cm} and a leg of 18 cm18\text{ cm}, find the length of the other leg.

    A.

    24 cm24\text{ cm}

    B.

    12 cm12\text{ cm}

    C.

    48 cm48\text{ cm}

    D.

    22 cm22\text{ cm}

  3. 3.

    In a right-angled triangle, if the legs are 10 cm10\text{ cm} and 24 cm24\text{ cm}, what is the perimeter?

    A.

    34 cm34\text{ cm}

    B.

    50 cm50\text{ cm}

    C.

    54 cm54\text{ cm}

    D.

    60 cm60\text{ cm}

Download the worksheet for Trigonometry - Pythagoras' theorem to practice offline. It includes additional chapter-level practice questions.

Sine, Cosine, and Tangent ratios

Subtopic

Sine, Cosine, and Tangent ratios under Trigonometry for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In a right triangle, the ratio of the side opposite to θ\theta to the hypotenuse is 0.280.28. What is θ\theta to the nearest degree?

    A.

    16∘16^{\circ}

    B.

    74∘74^{\circ}

    C.

    15∘15^{\circ}

    D.

    28∘28^{\circ}

  2. 2.

    Calculate 12tan⁡20∘12 \tan 20^{\circ} to 2 decimal places.

    A.

    4.374.37

    B.

    11.2811.28

    C.

    4.104.10

    D.

    32.9732.97

  3. 3.

    Find θ\theta if sin⁡θ=cos⁡θ\sin \theta = \cos \theta and 0∘<θ<90∘0^{\circ} < \theta < 90^{\circ}.

    A.

    30∘30^{\circ}

    B.

    45∘45^{\circ}

    C.

    60∘60^{\circ}

    D.

    0∘0^{\circ}

Download the worksheet for Trigonometry - Sine, Cosine, and Tangent ratios to practice offline. It includes additional chapter-level practice questions.

Sine and Cosine rules

Subtopic

Sine and Cosine rules under Trigonometry for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In triangle ABCABC, a=10a = 10 cm, b=10b = 10 cm, and ∠C=30circ\angle C = 30^circ. Calculate the area.

    A.

    25 cm2^2

    B.

    50 cm2^2

    C.

    43.3 cm2^2

    D.

    21.65 cm2^2

  2. 2.

    Calculate the area of triangle PQRPQR where side p=20p = 20 cm, r=25r = 25 cm, and ∠Q=10∘\angle Q = 10^\circ.

    A.

    45.50 cm2^2

    B.

    41.22 cm2^2

    C.

    48.15 cm2^2

    D.

    43.41 cm2^2

  3. 3.

    In triangle ABCABC, side a=13a = 13 cm, c=15c = 15 cm, and ∠B=125∘\angle B = 125^\circ. Calculate the area to two decimal places.

    A.

    79.87 cm2^2

    B.

    85.22 cm2^2

    C.

    72.45 cm2^2

    D.

    81.10 cm2^2

Download the worksheet for Trigonometry - Sine and Cosine rules to practice offline. It includes additional chapter-level practice questions.

Area of a triangle (1/2 ab sin C)

Subtopic

Area of a triangle (1/2 ab sin C) under Trigonometry for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Triangle JKLJKL has j=4j = 4 cm, k=11k = 11 cm, and ∠L=49∘\angle L = 49^\circ. Find the area to 2 decimal places.

    A.

    22.0022.00 cm2^2

    B.

    14.4314.43 cm2^2

    C.

    33.2033.20 cm2^2

    D.

    16.6016.60 cm2^2

  2. 2.

    A triangle has sides 1919 m and 2121 m. The angle between them is 77∘77^\circ. Find the area to 2 decimal places.

    A.

    194.39194.39 m2^2

    B.

    388.78388.78 m2^2

    C.

    199.50199.50 m2^2

    D.

    44.8744.87 m2^2

  3. 3.

    In triangle DEFDEF, d=8d = 8 cm, e=15e = 15 cm, and ∠F=26∘\angle F = 26^\circ. Calculate the area to 2 decimal places.

    A.

    60.0060.00 cm2^2

    B.

    53.9353.93 cm2^2

    C.

    26.3026.30 cm2^2

    D.

    13.1513.15 cm2^2

Download the worksheet for Trigonometry - Area of a triangle (1/2 ab sin C) to practice offline. It includes additional chapter-level practice questions.

Bearings

Subtopic

Bearings under Trigonometry for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A compass shows a bearing of 135∘135^\circ. Which direction is this?

    A.

    North-West

    B.

    South-East

    C.

    South-West

    D.

    North-East

  2. 2.

    If you are facing East and turn 90∘90^\circ clockwise, what is your new bearing?

    A.

    000∘000^\circ

    B.

    090∘090^\circ

    C.

    180∘180^\circ

    D.

    270∘270^\circ

  3. 3.

    A ship sails on a bearing of 225∘225^\circ. This corresponds to which cardinal direction?

    A.

    North-East

    B.

    South-East

    C.

    South-West

    D.

    North-West

Download the worksheet for Trigonometry - Bearings to practice offline. It includes additional chapter-level practice questions.

3D Trigonometry

Subtopic

3D Trigonometry under Trigonometry for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the space diagonal of a cuboid with dimensions 22 by 33 by 44, correct to two decimal places.

    A.

    4.584.58

    B.

    5.395.39

    C.

    6.126.12

    D.

    5.005.00

  2. 2.

    A pyramid has a vertical height of 1515 cm and a slant edge of 1717 cm. Calculate the distance from the center of the base to a corner of the base.

    A.

    88 cm

    B.

    1010 cm

    C.

    1212 cm

    D.

    1414 cm

  3. 3.

    A cuboid has dimensions 2020 cm by 2020 cm by 1010 cm. Calculate the internal diagonal.

    A.

    2525 cm

    B.

    2828 cm

    C.

    3535 cm

    D.

    3030 cm

Download the worksheet for Trigonometry - 3D Trigonometry to practice offline. It includes additional chapter-level practice questions.