please give me answer of maths question
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3(x²-1/x²)=1/3
Step-by-step explanation:
given 3x=cosecA and 3/x=cotA
to find 3(x²-1/x²)
cosecA+cotA=3(x+1/x)...(1)
cosecA-cotA=3(x-1/x)=>cosecA-cotA/3=(x-1/x)...(2)
since 3(x²-1/x²)=3(x+1/x)(1-1/x)
cosecA+cotA(cosecA-cotA)/3
(cosec²A-cot²A)/3
since cosec²A-cot²A=1
therefore
3(x²-1/x²)=1/3
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