Evaluate Tan 2° tan 3° ..... tan 45° ........ tan 87° tan 88°/(3 sin^2 43°+3 sin^2 47°)-2 (sec^2 39° - cot^2 51°)
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Step-by-step explanation:
tan2°tan3°........tan87°tan88°/ (3sin²43+3sin²47)-2(sec²39-cot²51)
=1/3{sin²43+sin²(90-43)}-2{sec²39 -cot²{90-39)}
=1/3(sin²43+cos²43)-2(sec²39-tan²39)
=1/3-2
=1
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