Question

NEED FULL STEPS

The value of
tan60-tan30/1+tan60×tan30

Answer 1

Hey there,

Given tan60°-tan30°/1+tan60°-tan30°
It is in the form of (tanA -  tanB)/(1 - tanA tanB) which is equal to tan(A - B)
Hence  tan60°-tan30°/1+tan60°-tan30° = tan(60° − 30°)
                                                                = tan(30°)
                                                                =1/√3 
Hope this helps!