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  • Prove that 1/cosecA-cotA -1/sinA=1/sinA -1/cosecA+cotA

Prove that 1/cosecA-cotA -1/sinA=1/sinA -1/cosecA+cotA

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Solution: We have ,

\ LHS=1/cosecA-cotA -1/sinA\ \Rightarrow LHS=1/(cosecA-cotA) imes (cosecA+cotA)/(cosecA+cotA)-1/sinA\ \Rightarrow LHS=cosecA+cotA/cosec^2-cot^2A -cosecA=cotA

Similarly  ,RHS=cotA

LHS=RHS Proved

Posted by

Deependra Verma

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