Question

tan 75 (show all work please)

Answer 1

Using tan(A+B) = (tanA + tanB)/(1-tanAtanB)

tan75
= tan(45+30)
= (tan45+tan30)/(1-tan45tan30)
= (1 + 1/√3)/(1 - (1)(1/√3)
multiply top and bottom by √3
= (√3 + 1)/(√3 - 1)