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Trigonometry

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

Trigonometrical Identities

Subtopic

Trigonometrical Identities under Trigonometry for Grade 10 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the value of (csc⁡2θ−1)sin⁡2θ(\csc^2 \theta - 1) \sin^2 \theta.

    A.

    sin⁡2θ\sin^2 \theta

    B.

    cos⁡2θ\cos^2 \theta

    C.

    1

    D.

    0

  2. 2.

    Simplify the expression (1−sin⁡A)(1+sin⁡A)(1 - \sin A)(1 + \sin A).

    A.

    sin⁡2A\sin^2 A

    B.

    1

    C.

    cos⁡2A\cos^2 A

    D.

    tan⁡2A\tan^2 A

  3. 3.

    Evaluate the square of the product: (sin⁡Asec⁡A)2(\sin A \sec A)^2.

    A.

    tan⁡2A\tan^2 A

    B.

    cot⁡2A\cot^2 A

    C.

    sin⁡2A\sin^2 A

    D.

    1

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

Heights and Distances

Subtopic

Heights and Distances under Trigonometry for Grade 10 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A tree 3030 m high casts a shadow of 10310\sqrt{3} m. What is the angle of elevation of the sun?

    A.

    30∘30^\circ

    B.

    45∘45^\circ

    C.

    60∘60^\circ

    D.

    0∘0^\circ

  2. 2.

    A balloon is at a height of 120120 m from the ground. If its string is 240240 m long, find the angle of inclination of the string to the horizontal.

    A.

    30∘30^\circ

    B.

    45∘45^\circ

    C.

    60∘60^\circ

    D.

    90∘90^\circ

  3. 3.

    A pole 3636 m high casts a shadow. If the angle of elevation of the sun is 30∘30^\circ, what is the length of the shadow?

    A.

    3636 m

    B.

    12312\sqrt{3} m

    C.

    36336\sqrt{3} m

    D.

    18318\sqrt{3} m

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