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Step-by-step explanation:
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Step-by-step explanation:
we have LHS
sin²A/cos²+cos²/sin²
(sin²A×sin²A+cos²A+cos²A)/sin²A.cos²A
(sin²A)²+(cos²A)²/sin²A.cos²A
(1-cos²A)²+cos⁴A/sin²A.cos²A
1+cos⁴A-2cos²A+cos⁴A/sin²A.cos²A
sin⁴A+cos⁴A-2cos²/sin²A.cos²A
1-2cos²/sin²A.cos²A
1 / sin²A.cos²A-2cos²A/sin²A.cos²A
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