Question

How do you find the exact values of `sintheta` and `tantheta` when `costheta=1/2`?

Answer 1

Use trig table of special arcs and unit circle -->
`cos t = 1/2` --> `t = +- pi/3`
a. When `t = pi/3` -->
`sin (pi/3) = sqrt3/2`
`tan (pi/3) = sqrt3`
b. When `t = - pi/3` -->
`sin (- pi/3) = - sqrt3/2`
`tan (- pi/3) = - sqrt3`