Simplify Trigonometric Expressions

Use the addition formulas for sine and cosine to simplify the expression.

(1) sin(pi/6) * cos(pi/3) + cos(pi/6) * sin(pi/3)

(2) cos(x - y) * cosy - sin(x - y) * siny

sin(pi/6) * cos(pi/3) + cos(pi/6) * sin(pi/3)
1/2(1/2)(√3/2)(√3/2)
1/4(3/4)
3/16

cos(x - y) * cosy - sin(x - y) * siny
cosy(cosxcosy+sinxsiny)-siny(sinxcosy-…
cosxcos^2y+sinxsinycosy-sinxcosysiny-c…

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1. sin(pi/6 + pi/3) = sin(pi/2) = rad(2)/2

2. cos((x-y)+(y))