Question

Please answer step by step

Answer 1

tan(13pie/12) = tan( pie + pie/12)

= tan (pie/12)

= tan 180/12

= tan 15 degree

= tan ( 45 - 30)

= tan 45 - tan30/ 1+ tan45 tan30

= (1- 1/root3) / ( 1+ 1/root3)

= root 3 - 1 / root 3 + 1

= (root 3 -1) square / root 3 square - 1

= 4 - 2 root 3 / 2

= 2 - root 3