Question

I am not able to understand the boxed step.How here 1-cosecA+ cotA has came? ​

Answer 1

Answer:

it's easy

at the fourth step it's written :

cotA+cosecA-(cosecA+cotA)(cosecA-cotA) ÷ cotA+1-cosecA

so in the next step , we have taken cotA+cosecA a commen term

hence : (cotA+cosecA)(1-cosecA+cotA)

=cotA+cosecA-(cosecA+cotA)(cosecA-cotA)

=cotA+cosecA   common

then instead of writing cosA+cosecA , 1 is mentioned in the brakect which replaces cotA+cosecA

now cosec A - cotA is written as it is

= (cotA+cosecA)(1-cosecA+cotA)

in the denominator

we have just shuffle the terms

hope ths is heplful : )