The value of tan15° + tan75° is equal to

Question

The value of tan15° + tan75° is equal to (A) 2√3 (B) 2 (C) 2-√3 (D) 4√3

Tardigrade Admin · Accepted Answer

tan 15°+ tan 75° =(√3-1/√3+1)+(√3+1/√3-1) [∵ tan 15°=(√3-1/√3+1), tan 75°=(√3+1/√3-1)] =((√3-1)2+(√3+1)2/(√3+1)(√3-1)) =(3+1-2 √3+3+1+2 √3/3-1)=4

Q. The value of tan $1 5^{\circ}$ + tan $7 5^{\circ}$ is equal to