Question

How do you simplify `tan 30 + 2(sin 45)(cos 60)`?

Answer 1

`(sqrt2 + sqrt3)/2`

Explanation:

S = tan 30 + 2sin(45)cos (60)
Trig table -->
`tan 30 = sqrt3/2`
`2sin (45)cos (60) = 2(sqrt2/2)(1/2) = sqrt2/2`
Therefor,
`S = sqrt3/2 + sqrt2/2 = (sqrt2 + sqrt3)/2`