Date Page Parcone that Cos? O + tan...
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Date Page Parcone that Cos? O + tan? 0-1 Sino t o

JEE/Engineering Exams
Maths
Solution
138
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( frac{0,}{sin ^{2} theta}=frac{cos ^{2} theta+tan ^{2} theta-1}{operatorname{sen}} ) ( =frac{cos ^{2} theta+frac{sin ^{2} theta}{cos ^{2} theta}-1}{sin ^{2} theta} ) ( =frac{cos ^{4} theta+sin ^{2} theta-cos ^{2} theta}{cos ^{2} theta} ) ( =frac{cos ^{4} theta+sin ^{2} theta-cos ^{2} theta}{sin ^{2} theta cos ^{2} theta} ) ( =frac{cos ^{2} 4 theta}{sin ^{2} theta cos ^{2} theta}+frac{sin ^{2} theta}{sin ^{2} theta cos ^{2} theta}-frac{cos ^{2} theta}{sin ^{2} theta cos ^{2} theta} ) ( cot ^{2} theta+frac{1}{cos ^{2} theta}-frac{1}{sin ^{2} theta} ) ( cot ^{2} theta+sec ^{2} theta-cos u^{2} theta ) ( =cot ^{2} theta+sec ^{2} theta-left(cot ^{2} theta+1right) ) ( =cot ^{2} theta+sec ^{2} theta-cot ^{2} theta-1 ) ( operatorname{lc} e^{2} theta-1 ) ( =tan ^{2} theta )
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