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Trigonometry

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

Trigonometric Ratios

Subtopic

Trigonometric Ratios under Trigonometry for Grade 9 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Which of the following values is not defined?

    A.

    sin⁡90∘\sin 90^\circ

    B.

    cos⁡0∘\cos 0^\circ

    C.

    tan⁡90∘\tan 90^\circ

    D.

    cot⁡90∘\cot 90^\circ

  2. 2.

    The value of sec⁡45∘\sec 45^\circ is:

    A.

    12\frac{1}{\sqrt{2}}

    B.

    11

    C.

    2\sqrt{2}

    D.

    22

  3. 3.

    If cosec θ=53\text{cosec } \theta = \frac{5}{3}, then the value of sin⁡θ\sin \theta is:

    A.

    35\frac{3}{5}

    B.

    45\frac{4}{5}

    C.

    54\frac{5}{4}

    D.

    34\frac{3}{4}

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

Trigonometric Ratios of Standard Angles (0°, 30°, 45°, 60°, 90°)

Subtopic

Trigonometric Ratios of Standard Angles (0°, 30°, 45°, 60°, 90°) under Trigonometry for Grade 9 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Evaluate: 4cos⁡330∘−3cos⁡30∘4 \cos^3 30^\circ - 3 \cos 30^\circ.

    A.

    12\frac{1}{2}

    B.

    1

    C.

    32\frac{\sqrt{3}}{2}

    D.

    0

  2. 2.

    What is the value of cosec 90∘\text{cosec } 90^\circ?

    A.

    0

    B.

    Not defined

    C.

    1

    D.

    2

  3. 3.

    Evaluate: sin⁡30∘+sin⁡0∘\sin 30^\circ + \sin 0^\circ.

    A.

    12\frac{1}{2}

    B.

    1

    C.

    0

    D.

    32\frac{\sqrt{3}}{2}

Download the worksheet for Trigonometry - Trigonometric Ratios of Standard Angles (0°, 30°, 45°, 60°, 90°) to practice offline. It includes additional chapter-level practice questions.

Trigonometric Ratios of Complementary Angles

Subtopic

Trigonometric Ratios of Complementary Angles under Trigonometry for Grade 9 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Calculate the value of sin⁡33∘−cos⁡57∘\sin 33^\circ - \cos 57^\circ.

    A.

    1

    B.

    0

    C.

    -1

    D.

    2

  2. 2.

    The value of sec⁡20∘cosec⁡70∘\frac{\sec 20^\circ}{\operatorname{cosec} 70^\circ} is equal to:

    A.

    0

    B.

    1

    C.

    -1

    D.

    2

  3. 3.

    What is the value of cot⁡10∘tan⁡80∘\frac{\cot 10^\circ}{\tan 80^\circ}?

    A.

    1

    B.

    0

    C.

    -1

    D.

    2

Download the worksheet for Trigonometry - Trigonometric Ratios of Complementary Angles to practice offline. It includes additional chapter-level practice questions.

Simple 2-D problems on Heights and Distances

Subtopic

Simple 2-D problems on Heights and Distances under Trigonometry for Grade 9 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    From a point on the ground 5050 m away from the foot of a tower, the angle of elevation of the top is 45∘45^\circ. Find the height of the tower.

    A.

    2525 m

    B.

    5050 m

    C.

    50350\sqrt{3} m

    D.

    100100 m

  2. 2.

    A person observes the top of a building 1010 m high from a point 10/310/\sqrt{3} m away from its base. Find the angle of elevation.

    A.

    30∘30^\circ

    B.

    45∘45^\circ

    C.

    60∘60^\circ

    D.

    90∘90^\circ

  3. 3.

    The angle of elevation of the sun is 60∘60^\circ. What is the length of the shadow of a 6060 m tall tower?

    A.

    20320\sqrt{3} m

    B.

    60360\sqrt{3} m

    C.

    3030 m

    D.

    120120 m

Download the worksheet for Trigonometry - Simple 2-D problems on Heights and Distances to practice offline. It includes additional chapter-level practice questions.