How does one find the exact value of sin pie over 6 plus tan sqaured pie over 3

tan-sqaured-pie

#1

how does one find the exact value of sin pie over 6 plus tan sqaured pie over 3

Answer:

By the unit circle:
sin(pi/6) = sin(30) = 1/2
sin(pi/3) = sin(60) = sqrt(3) / 2

ANS
1/2 + sqrt(3) / 2 = (1+sqrt(3)) / 2