tan27°+tan18°+tan27°.tan18°=1
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tan27°+tan18°+tan27°.tan18°=1 

JEE/Engineering Exams
Maths
Solution
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tan27°+tan18°+tan27°.tan18°=1
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L.H.S = R.H.S

tan27° +tan18° +tan27° tan18=1

tan27° +tan18° = 1-tan27° tan18°  

tan27° +tan18° /1-tan27° tan18° = 1

tan(27° +18°) = 1

tan45°  = 1

1 = 1

Proved

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