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Let A=45 and B=30
tan(A+B)= tanA + tanB/ 1 - tanA.tanB
tan75 = tan45 + tan30/ 1 - tan45.tan30
tan45 = 1 tan30 = 1/√3
tan75 = 1 + 1/√3 / 1 - 1/√3
by solving it we got
√3 + 1 / √3 - 1
tan(A+B)= tanA + tanB/ 1 - tanA.tanB
tan75 = tan45 + tan30/ 1 - tan45.tan30
tan45 = 1 tan30 = 1/√3
tan75 = 1 + 1/√3 / 1 - 1/√3
by solving it we got
√3 + 1 / √3 - 1
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