" · " - times
" + " - sum
n - a number
0.5n - half a number
10 · (0.5n + 6) = 8 |use distributive property
(10)(0.5n) + (10)(6) = 8
5n + 60 = 8 |substract 60 from both sides
5n = -52 |divide both sides by 5
n = -10.4
If you’re trying to convert it to standard notation then it’s 44.1 as your answer.
Transformation :
sin α · cos β = 1/2 ( sin ( α - β ) + sin ( α + β ))
...= 1/2 ( sin ( - 375 ) + sin ( 2 x + 443 ) ) + 1/2 ( sin (-225)+ sin ( 2 x + 263 ))=
= 1/2 ( 1/√2 + sin ( 2 x + 443 ) + 1/2 ( 1/√2 + sin ( 2 x + 263 ) =
= 1/2√2 + 1/2√2 + 1/2 ( sin ( 2 x + 443 ) + sin ( 2 x + 263 ) ) =
= 1/√2 + 1/2 · ( 2 · sin (( 4 x + 706 ) / 2) + cos ( 180 / 2 ) =
( since cos 180°/2 = cos 90° = 0 )
= 1/√2 + 0 = 1/√2 ( correct )
