Prove that tan30+tan15+tan30.tan15=1
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let us take tan45
it is equal to 1
now 45 can be written as 15+30
tan(15+30)=1
(tan15+tan30)/(1-tan15.tan30) =1
multiply both side by 1-tan15.tan30
tan15+tan30=1-tan15.tan30
tan15+tan30+tan15.tan30=1
hence proved.
if you didn't understand anything feel free to ask me
it is equal to 1
now 45 can be written as 15+30
tan(15+30)=1
(tan15+tan30)/(1-tan15.tan30) =1
multiply both side by 1-tan15.tan30
tan15+tan30=1-tan15.tan30
tan15+tan30+tan15.tan30=1
hence proved.
if you didn't understand anything feel free to ask me
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