Question

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

Answer 1

step by step below

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