prove that:tan22°+tan23°+tan22°*tan23°=1
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We know tan(22+23)=tan45=1
And tan(a+b)=tan a + tan b/1-tana tanb
so, (tan 22+ tan 23)/(1-tan22tan23)=1
cross multiplying,
tan22 + tan 23=1-tan22tan23
so, tan22 + tan23+ tan22tan23=1
HENCE PROVED
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answer for the given problem is given
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