Question

cot A +cosecA-1 /cotA-cosecA+1 =1+cosA/sinA

Answer 1

=cot A + cosecA - 1/cotA-cosec A+1=1+cos A/sin A
=first put the value of 1 in the numerator in terms of cosec^2 -cot^2=1.
so,
=cotA + cosec A -(cosec^2 A -cot^2)/
cotA-cosecA+1.
now take the common in the numerator
=cotA+cosec -(1 +cotA - cosecA)/1+cotA-cosecA.
= cotA+cosecA.
= cosA/sinA+ 1/sinA
so,
cosA+1/sinA=cosA+sinA .
hence proved.

Answer 2

Answer:

HERE IS THE ANSWER

Step-by-step explanation:

=cot A + cosecA - 1/cotA-cosec A+1=1+cos A/sin

A

=first put the value of 1 in the numerator in

terms of cosec^2 -cot^2=1.

So,

=cotA + cosec A -(cosec^2 A -cot^2)/

cotA-cosecA+1. now take the common in the numerator =cotA+cosec -(1 +cotA - cosecA)/1+cotA-cosecA.

= cotA+cosecA.

= cosA/sinA+ 1/sinA

So,

cosA+1/sinA=cosA+sinA. hence proved.

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