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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 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A car travels 1111 km South and 6060 km West. Find the shortest distance back to the start.

    A.

    7171 km

    B.

    6161 km

    C.

    4949 km

    D.

    37213721 km

  2. 2.

    A plane flies 4848 km North and 1414 km East. What is the displacement from the origin?

    A.

    5050 km

    B.

    6262 km

    C.

    3434 km

    D.

    25002500 km

  3. 3.

    A ship sails 2020 miles South and then 2121 miles West. Calculate the direct distance from the starting point.

    A.

    4141 miles

    B.

    11 mile

    C.

    841841 miles

    D.

    2929 miles

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

Right-angled Trigonometry (SOHCAHTOA)

Subtopic

Right-angled Trigonometry (SOHCAHTOA) under Trigonometry for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If sin⁡θ=0.28\sin \theta = 0.28, find θ\theta to the nearest tenth of a degree.

    A.

    16.3∘16.3^\circ

    B.

    73.7∘73.7^\circ

    C.

    15.6∘15.6^\circ

    D.

    16.0∘16.0^\circ

  2. 2.

    In a right triangle, the two acute angles always add up to:

    A.

    90∘90^\circ

    B.

    180∘180^\circ

    C.

    45∘45^\circ

    D.

    60∘60^\circ

  3. 3.

    A wire attached to the top of a pole reaches the ground 5 m5 \text{ m} from the base. If the wire makes an angle of 65∘65^\circ with the ground, find the length of the wire.

    A.

    11.83 m11.83 \text{ m}

    B.

    10.72 m10.72 \text{ m}

    C.

    5.52 m5.52 \text{ m}

    D.

    4.53 m4.53 \text{ m}

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

Sine and Cosine Rules

Subtopic

Sine and Cosine Rules under Trigonometry for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In triangle ABCABC, if b2+c2<a2b^2 + c^2 < a^2, what type of angle is AA?

    A.

    Acute

    B.

    Right

    C.

    Obtuse

    D.

    Straight

  2. 2.

    To use the Sine Rule to find a missing angle, you must know at least:

    A.

    Two sides and the angle opposite one of them

    B.

    Two sides and the included angle

    C.

    Three sides

    D.

    Three angles

  3. 3.

    In triangle ABCABC, a=8,b=8,c=8a=8, b=8, c=8. What is the area? (Use Area = 12absin⁡C\frac{1}{2}ab \sin C and C=60∘C=60^\circ)

    A.

    32sin⁡60∘32 \sin 60^\circ

    B.

    64sin⁡60∘64 \sin 60^\circ

    C.

    16sin⁡60∘16 \sin 60^\circ

    D.

    8sin⁡60∘8 \sin 60^\circ

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 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Calculate the area of a triangle where two sides are 66 cm and 77 cm, and the angle between them is 88∘88^\circ.

    A.

    20.9920.99 cm²

    B.

    41.9741.97 cm²

    C.

    21.0021.00 cm²

    D.

    0.730.73 cm²

  2. 2.

    Find the area of a triangle with sides 1616 cm and 2525 cm and an included angle of 142∘142^\circ.

    A.

    246.26246.26 cm²

    B.

    123.13123.13 cm²

    C.

    200.00200.00 cm²

    D.

    157.60157.60 cm²

  3. 3.

    What is the area of a triangle with side lengths 33 cm and 33 cm and an included angle of 60∘60^\circ?

    A.

    4.504.50 cm²

    B.

    7.797.79 cm²

    C.

    2.252.25 cm²

    D.

    3.903.90 cm²

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

Trigonometry - IGCSE Grade 9 Maths Notes & Revision | Krit.club