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(cosecA+1).(1-sinA)=cosA.cotA
please can you answer this as fast as possible ​


Sagot :

Answer:

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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