if triangle ABC if sin a =9/15 then cosec²A-cot²A
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Given:sinA=9/15
we get the perpendicular and hypotenuse 9 and 15 respectively.
by these we also get Base i.e.12
tanA=9/12
reciprocal of SinA and TanA i.e.CosecA and CotA
value of CosecA=15/9
CotA=12/9
cosec^2-cot^2 (put the values of cosecA and cotA)
we get...
(15/9)^2 - (12/9)^2
(225/81) - (144/81)
taking LCM
81/81=1
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