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Long answer·Standard multi-step (3/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

An equilateral triangle of side 22 units is divided into two congruent right triangles by drawing an altitude. Use this construction to obtain sin⁡60∘\sin60^\circ, cos⁡60∘\cos60^\circ and tan⁡60∘\tan60^\circ.
Total: 4 marks

(a) Derive the three values. (4 marks)

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cbse-math-10.u5.t5-2.laq.004

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