1.

Evaluate:cosec 31° – sec 59°

Answer»

We have, 

cosec 31° – sec 59° 

Since, cosec (90 – θ) = cos θ 

So, 

cosec 31° – sec 59° 

= cosec (90° – 59°) – sec 59° 

= sec 59° – sec 59° = 0 

Thus, 

cosec 31° – sec 59° = 0



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