By trigonometric identity, we can say
cosec (90° - θ) = sec θ
Replace θ by 59°.
cosec (90° - 59°) = sec 59°
⇒ cosec 31° = sec 59°
Now, cosec 31° - sec 59° = sec 59° - sec 59°
⇒ cosec 31° - sec 59° = 0
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