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Grade: 10
Prove that 1/cosec-cot-1/sin =1/sin - 1/cosec + cot
8 months ago

## Answers : (2)

Arun
13919 Points

Dear Keshav LHS=1/(cosecA-cotA) -1/sinA
=(cosecA+cotA)/cosec^2A-cot^2A) -cosecA
=cosecA+cotA-cosecA
=cotA
RHS=1/sinA-1/(cosecA+cotA)
=cosecA-(cosecA-cotA)/(cosec^2A-cot^2A)
=cosecA-(cosecA-cotA)
=cotA
LHS=RHS
Regards
Arun (askIITians forum expert)
8 months ago
Sankalp Das
25 Points
=(cosecx)^2-(cotx)^2=1...=cosecx-cotx=1/cosecx+cotxTherefore,1/cosecx-cotx-1/sinx ...=cosecx+cotx-cosecx=1/sinx-(cosecx-cotx)=1/sinx-1/cosecx+cotx...hp

8 months ago
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