Tan π/12 trigonometri

jawab

π = 180°

tan π/12 = tan 180/12
tan π/12 = tan 15
= tan(45 - 30)
= ( tan 45 - tan 30) / (1 + tan 45 . tan 30)
= ( 1 - 1/ √3)/ (1 + 1(1/√3)... kalikan  √3/√3
= (√3 - 1)/(√3 + 1) ....kalikan ( √3 -1)/(√3 -1)
= (4 - 2√3)/(3 -1)
= (4 - 2√3)/(2)
= 2 - √3