tan 53 tan 37 + tan25 cot 25+ cot 45 +cot 30×cot 60
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tan53 = cot(90-53) = cot37 = 1/tan37
cot45 = 1
cot30 = tan(90-30) = tan60 = 1/cot60
tan53×tan37 = 1/tan37 × tan37 = 1
tan25×cot25 = 1/cot25 × cot25 = 1
cot30×cot60 = 1/cot60 × cot60 = 1
Therefore,
tan 53 tan 37 + tan25 cot 25+ cot 45 +cot 30×cot 60
= 1 + 1 + 1 + 1 = 4
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