StudyLoop
Case study·Hard exam skill (4/5)·No calculatorNeeds mentor review

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

A camera is placed so that its angle of elevation θ\theta satisfies sin⁡θ=513.\sin\theta=\frac{5}{13}. The software records the principal value θ=sin⁡−1(513).\theta=\sin^{-1}\left(\frac{5}{13}\right).
Total: 4 marks

(a) State the principal interval containing θ\theta. (1 mark)

(b) Find cos⁡θ\cos\theta. (1 mark)

(c) Find tan⁡θ\tan\theta and evaluate cos⁡−1(12/13)\cos^{-1}(12/13) in terms of θ\theta. (2 marks)

Something wrong with this item?

Flag this question

What should we review?

cbse-math-12.u1.t1-5.case.005

Issue type

The current page address and technical context are included with your message. Your StudyLoop profile and answers are not sent.

Please provide feedback

Tell us what would make StudyLoop better.

Feedback type

The current page address and technical context are included with your message. Your StudyLoop profile and answers are not sent.