Math, asked by prabhullaeb, 1 year ago

prove that:(cosec A + CotA) 2 = sec A +1/sec A-1

Answers

Answered by priyudd
3
cosecA +cotA/2 or cosecA +cotA ×2

prabhullaeb: Thanks
Answered by mysticd
13
Hi ,

LHS = ( cosecA - cotA )²

= ( 1/sinA - cosA / sinA )²

= [ ( 1 - cosA ) / sinA ]²

= ( 1 - cosA )² / sin² A

= ( 1 - cosA )² / ( 1 - cos ² A )

= ( 1 - cosA )² / (1-cosA)(1+cosA )

= ( 1 - cosA )/( 1 + cosA )

= [ 1 - 1/secA ] / [ 1 + 1/secA ]

= ( SecA - 1 ) / ( secA + 1 )

= RHS

I hope this helps you.

: )
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