Question
Download Solution PDFcosec 2910° + sec 4260° + tan 2565° + cot 1755° = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
cosec 2910° + sec 4260° + tan 2565° + cot 1755°
⇒ cosec (2970 - 60)° + sec (4230 + 30)° + tan (2610 - 45)° + (cot 1800 - 45)°
⇒ cosec (33 × 90 - 60)° + sec (47 × 90 + 30)° + tan (29 × 90 - 45)° + (cot 20 × 90 - 45)°
⇒ sec60° + cosec30° + cot45° - cot45°
⇒ 2 + 2 + 1 - 1 = 4
∴ The correct option is 3
Alternate Method
cosec 2910° + sec 4260° + tan 2565° + cot 1755°
⇒ cosec (360 × 8 + 30)° + sec(360 × 12 - 60)° + tan(360 × 7 + 45)° + cot(360 × 5 - 45)°
⇒ cosec30° + sec60° + tan45° - cot45°
⇒ 2 + 2 + 1 - 1 = 4
∴ The correct option is 3.
Last updated on Jul 19, 2025
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