prove that:(cosec A + CotA) 2 = sec A +1/sec A-1
Answers
Answered by
3
cosecA +cotA/2 or cosecA +cotA ×2
prabhullaeb:
Thanks
Answered by
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.
: )
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.
: )
Similar questions