Question

How do you use the angle sum identities to find the exact values of Tan(15) and Tan(45)?

Answer 1

`tan15=(sqrt3-1)/(sqrt3+1)`
`tan45=1`

Explanation:

`Tan(A-B)=(tanA-tanB)/(1+tanAtanB)`
`tan15=tan(60-45)`
`=>tan15=(tan60-tan45)/(1+tan60*tan45)`
`tan15=(sqrt3-1)/(1+sqrt3)`