Without using trigonometry table, evaluate the following:-
(sin^2 25 + sin^2 65) + root 3(tan 5 . tan15 . tan30 . tan75 . tan85)
-------Please do not use trigonometry table to solve this question-------
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(sin²25+sin²65) + √3(tan5. tan15. tan30. tan75. tan85)
= (sin²25+cos²25) +√3(tan5 .cot5. tan15. cot15. tan.30)
= 1 + √3(1×1×tan 30)
= 1 + √3(1/√3)
= 1 + 1
= 2
= (sin²25+cos²25) +√3(tan5 .cot5. tan15. cot15. tan.30)
= 1 + √3(1×1×tan 30)
= 1 + √3(1/√3)
= 1 + 1
= 2
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