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Cotx+cosecx-1/cotx-cosecx+1=What is the value of the above

Cotx+cosecx-1/cotx-cosecx+1=What is the value of the above

Grade:9

1 Answers

Arun
25750 Points
5 years ago
1+ cot x + cosec x 
= cot x + cosec x + 1 
= cot x + cosec x + (cosec ^2 x - cot ^2 x) 
= (cot x + cosec x)(1+ cot x + cosec x) 
 
so 
(1+ cot x + cosec x)/1+ cot x + cosec x) 
= cot x + cosec x = cos x/ sin x + 1/sin x = (1+ cos x)/ sin x
 

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