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solve the question given in image-........................

solve the question given in image-........................

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Grade:12

1 Answers

Aditya Gupta
2081 Points
4 years ago
ln(1+sin^2x)*cot(ln^2(1+x))
= [ln(1+sin^2x)/sin^2x]*(sin^2x/x^2)*[x^2/sin(ln^2(1+x))]*cos(ln^2(1+x))
= 1*1*x^2/sin(ln^2(1+x))*1
= [x^2/(ln^2(1+x))]*[(ln^2(1+x))/sin(ln^2(1+x))]
= x^2/(ln^2(1+x))*1
= 1/[(ln(1+x))/x]^2
= 1/1^2
= 1

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