Question

pls answer this trignometry question!

Answer 1

formula used:
cosec²x - cot²x = 1

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hope it helps.....

Answer 2

Hi ,

here I used A instead Alfa

LHS = 1/(cosecA+cotA) - 1/sinA

= ( cosecA-cotA)/(cosec²A- cot²A ) - cosecA

= cosecA-cotA -cosecA

= -cotA-----( 1 )

RHS = 1/sinA - 1/( cosecA-cotA)

= cosecA - ( cosecA+cotA) /(cosec²A- cot²A )

= cosecA - (cosecA + cotA)

= cosecA - cosecA - cotA

= - cotA ---( 2 )

Therefore ,

from ( 1 ) and ( 2),

LHS = RHS

I hope this helps you.

:)