Evaluate the following sin 2 25degree + sin 2 65 degree + root 3(tan 5 degree tan 15 degree tan 30 degree tan 75 degree tan 85 degree)
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sin²25°+sin²65°+√3(tan5°tan15°tan30°tan75°tan85°)
=sin²25°+sin²(90°-25°)+√3{tan5°tan15°×(1/√3)×tan(90°-15°)tan(90°-5°)}
=sin²25°+cos²25°+√3×1/√3(tan5°tan15°cot15°cot5°)
=1+1
=2 Ans.
=sin²25°+sin²(90°-25°)+√3{tan5°tan15°×(1/√3)×tan(90°-15°)tan(90°-5°)}
=sin²25°+cos²25°+√3×1/√3(tan5°tan15°cot15°cot5°)
=1+1
=2 Ans.
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