Question

tan pie/12+tan pie/6+tan pie/12*tan pie/6

Answer 1

hello,

Explanation:-

pi=180 degree

pi/12 = 180/12 = 15 degree

pi/6 =180/6 =30 degree

let, symbol of degree = *

now,

Question;-

tan 15* + tan 30* + tan 15* tan 30*= ?

since;

tan 45* = 1

tan (30* + 15*) = 1

tan 30* + tan 15*

------------------------ = 1

1 - tan 30* tan 15*

by cross multiplying

tan 30* + tan 15* = 1 - tan 30* tan 15*

tan 30* + tan 15* + tan 30* tan 15* = 1

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