Use an Addition or Subtraction Formula to write the expressi

Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number and the exact value.

sin(19°) cos(41°) + cos(19°) sin(41°)

Solution

sin19 cos 41 + cos19 sin 41

sin addition identity is

sin(A+B)= sin A cos B + cos A sin B

Therefore sin 19 cos41 + cos19 sin 41=sin(19+41)

                                                                      =sin 60 degree

                                                                    = sqrt3/2