SSC CHSL 2024 · PYQ · Trigonometry · medium
What is the value of cos(x + y) – sin(x – y) + tan(2z)?
- A.cos x · cos y – sin x · sin y – cos x · sin y + tan z / (1 – tan² z)
- B.cos x · cos y – sin x · sin y – sin x · cos y – cos x · sin y + 2 tan z / (1 – tan² z)
- C.sin x · sin y + 2 tan z / (1 – tan² z)
- D.cos x · cos y – sin x · sin y – sin x · cos y + cos x · sin y + 2 tan z / (1 – tan² z)✓ Correct
Expanding: cos(x+y) = cosx·cosy – sinx·siny; sin(x–y) = sinx·cosy – cosx·siny; tan(2z) = 2tanz/(1–tan²z). So the full expression equals cosx·cosy – sinx·siny – sinx·cosy + cosx·siny + 2tanz/(1–tan²z), which matches option (b).
💡
Practice unlimited SSC CHSL PYQs + AI-tracked progress on each topic.
Sign up free →More Trigonometry questions
Want more SSC CHSL practice?
Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English