To rewrite the expression sin(57) * cos(13) + cos(57) * sin(13), we can use the angle addition formula for sine. The angle addition formula states that:
sin(A + B) = sin(A) * cos(B) + cos(A) * sin(B)
In this case, let A = 57 degrees and B = 13 degrees. Substituting these values into the formula gives:
sin(57 + 13) = sin(57) * cos(13) + cos(57) * sin(13)
This simplifies to:
sin(70)
Therefore, the expression sin(57) * cos(13) + cos(57) * sin(13) can be expressed as:
sin(70 degrees).
In conclusion, the expression can be rewritten as the sine of the sum of the two angles, which is sin(70 degrees).