(sec 29° / cosec 61°) + 2 cot 8° cot 17° cot 45° cot 73° cot 82° - 3(sin² 38° + sin² 52°)

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Without using trigonometric tables, evaluate the following:
sin² 34° + sin² 56° + 2 tan 18° tan 72° - cot² 30°.