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Mathematics

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(cosecA+1).(1-sinA)=cosA.cotA
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step by step below

Step-by-step explanation:

(cscA+1).(1-sinA)=cosA.cotA

(1/sinA +1).(1-sinA) = 1/sinA*(1 - sinA) + 1*(1-sinA)

= 1/sinA - 1 + 1 - sinA

= 1/sinA - sinA

= (1 - sin²A) / sinA

=cos²A / sinA

= cosA*cosA / sinA

=cosA*cotA

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