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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 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the length of the hypotenuse of a right-angled triangle with legs of 2020 cm and 2121 cm.

    A.

    2727 cm

    B.

    2828 cm

    C.

    2929 cm

    D.

    4141 cm

  2. 2.

    A rectangle has sides 3.33.3 cm and 5.65.6 cm. What is the length of its diagonal?

    A.

    6.26.2 cm

    B.

    6.36.3 cm

    C.

    6.56.5 cm

    D.

    8.98.9 cm

  3. 3.

    A right-angled triangle has a hypotenuse of 6565 units and one leg of 1616 units. Calculate the length of the other leg.

    A.

    6161 units

    B.

    6262 units

    C.

    6363 units

    D.

    6464 units

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

Right-angled Trigonometry (SOH CAH TOA)

Subtopic

Right-angled Trigonometry (SOH CAH TOA) under Trigonometry for Grade 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the length of the side adjacent to an angle of 20∘20^\circ if the opposite side is 55 cm.

    A.

    13.74 cm

    B.

    14.62 cm

    C.

    1.82 cm

    D.

    4.70 cm

  2. 2.

    Calculate the value of sin⁡60∘cos⁡30∘\frac{\sin 60^\circ}{\cos 30^\circ}.

    A.

    1

    B.

    3\sqrt{3}

    C.

    13\frac{1}{\sqrt{3}}

    D.

    0.5

  3. 3.

    A slide is 44 m long and its base is 33 m from the ladder. What is the angle of the slide with the horizontal ground?

    A.

    41.4∘41.4^\circ

    B.

    48.6∘48.6^\circ

    C.

    36.9∘36.9^\circ

    D.

    53.1∘53.1^\circ

Download the worksheet for Trigonometry - Right-angled Trigonometry (SOH CAH TOA) to practice offline. It includes additional chapter-level practice questions.

Sine and Cosine Rules

Subtopic

Sine and Cosine Rules under Trigonometry for Grade 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If the area of a triangle is 2020 cm2^2, sides are 88 cm and 1010 cm, what is the sine of the included angle?

    A.

    0.50.5

    B.

    0.250.25

    C.

    0.40.4

    D.

    0.80.8

  2. 2.

    In triangle ABCABC, find the value of sin⁡C\sin C if c=10c = 10, a=20a = 20, and ∠A=90∘\angle A = 90^\circ.

    A.

    0.50.5

    B.

    1.01.0

    C.

    0.250.25

    D.

    0.8660.866

  3. 3.

    Find side cc if a=10,b=10a = 10, b = 10 and C=120∘C = 120^\circ.

    A.

    17.3217.32

    B.

    1010

    C.

    2020

    D.

    14.1414.14

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

Trigonometric Graphs and Identities

Subtopic

Trigonometric Graphs and Identities under Trigonometry for Grade 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the midline of the function y=3sin⁡x−2y = 3\sin x - 2?

    A.

    y = 3

    B.

    y = 0

    C.

    y = -2

    D.

    y = 2

  2. 2.

    What is the value of cos⁡(270∘)\cos(270^\circ)?

    A.

    -1

    B.

    1

    C.

    0

    D.

    0.5

  3. 3.

    Find the maximum value of the function y=cos⁡x−1y = \cos x - 1.

    A.

    0

    B.

    1

    C.

    -1

    D.

    -2

Download the worksheet for Trigonometry - Trigonometric Graphs and Identities to practice offline. It includes additional chapter-level practice questions.

Bearings and 3D Trigonometry

Subtopic

Bearings and 3D Trigonometry under Trigonometry for Grade 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the length of the space diagonal of a cube with a surface area of 54 cm254\text{ cm}^2.

    A.

    32 cm3\sqrt{2}\text{ cm}

    B.

    33 cm3\sqrt{3}\text{ cm}

    C.

    9 cm9\text{ cm}

    D.

    6 cm6\text{ cm}

  2. 2.

    A ship sails on a bearing of 135∘135^\circ. In which general compass direction is it traveling?

    A.

    North-West

    B.

    South-West

    C.

    South-East

    D.

    North-East

  3. 3.

    If a line makes an angle of 30∘30^\circ with a horizontal plane, and the horizontal projection of the line is 103 cm10\sqrt{3}\text{ cm}, what is the length of the line?

    A.

    20 cm20\text{ cm}

    B.

    15 cm15\text{ cm}

    C.

    10 cm10\text{ cm}

    D.

    30 cm30\text{ cm}

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