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Step-by-step explanation:
cotФtan(90-Ф) -sec(90-Ф)cosecФ +sin²65° + sin²25°+√3tan5°tan85°
=cotФ×cotФ - cosecФ×cosecФ + sin²65 + cos²65 + √3tan5×cot5
=cot²Ф - cosec²Ф +1 + √3
= (cot²Ф +1 ) - cosec²Ф +√3
= cosec²Ф - cosec²Ф +√3
= √3
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