cosec 2910°+ sec 4260° + tan 2565° + cot 1755° = ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 4.
⇒ 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