Without using trigonometric tables, evaluate the following:

cosec 35° - sec 55°

Solving,

⇒ cosec 35° - sec 55°

⇒ cosec (90° - 55°) - sec 55°

⇒ sec 55° - sec 55° [As, cosec (90 - θ) = sec θ]

⇒ 0.

Hence, cosec 35° - sec 55° = 0.