CDS 2024 · PYQ · Trigonometric Equations · easy
If tan(3A) = cot(A - 22°), where 3A is an acute angle, then what is the value of A?
Answer
The correct answer is C: 28°. tan(3A) = cot(A - 22°) = tan(90° - (A - 22°)) = tan(112° - A). So 3A = 112° - A, giving 4A = 112°, A = 28°.
- A.25°
- B.27°
- C.28°✓ Correct
- D.30°
tan(3A) = cot(A - 22°) = tan(90° - (A - 22°)) = tan(112° - A). So 3A = 112° - A, giving 4A = 112°, A = 28°.
💡
Practice unlimited CDS PYQs + AI-tracked progress on each topic.
Sign up free →More Trigonometric Equations questions
Want more CDS practice?
Free daily 10-Q quiz · adaptive mocks · 49,000+ practice questions (19,000+ verified PYQs) · AI doubt solver in Hindi + English