Proof that a + b = c + d

Expression 17: "B" Subscript, 1 , Baseline equals "R" equals 4.6 5

equals

4.6 5

Expression 18: "B" Subscript, 2 , Baseline equals "O" Subscript, 2 , Baseline equals 0

equals

Expression 19: "C" Subscript, 1 , Baseline equals "R" cosine "B" Subscript, "O" "C" , Baseline equals 2.3 2 5

equals

2.3 2 5

Expression 20: "C" Subscript, 2 , Baseline equals "R" sine "B" Subscript, "O" "C" , Baseline equals 4.0 2 7 0 1 8 1 2 7 6

equals

4.0 2 7 0 1 8 1 2 7 6

Expression 21: "D" Subscript, 1 , Baseline equals "A" Subscript, 1 , Baseline plus "A" Subscript, "D" , Baseline cosine 45 equals 1.2 4 5 9 6 3 7 4 4 8

equals

1.2 4 5 9 6 3 7 4 4 8

Expression 22: "D" Subscript, 2 , Baseline equals "A" Subscript, "D" , Baseline sine 45 equals 5.8 9 5 9 6 3 7 4 4 8

equals

5.8 9 5 9 6 3 7 4 4 8

Expression 23: "E" Subscript, 1 , Baseline equals "C" Subscript, 1 , Baseline plus "c" cosine 120 equals negative 1.7 0 2 0 1 8 1 2 7 6

equals

negative 1.7 0 2 0 1 8 1 2 7 6

Expression 24: "E" Subscript, 2 , Baseline equals "C" Subscript, 2 , Baseline plus "c" sine 120 equals 11.0 0 2 0 1 8 1 2 7 6

equals

11.0 0 2 0 1 8 1 2 7 6

Expression 25: "F" Subscript, 1 , Baseline equals "A" Subscript, 1 , Baseline equals negative 4.6 5

equals

negative 4.6 5

Expression 26: "F" Subscript, 2 , Baseline equals "D" Subscript, 2 , Baseline equals 5.8 9 5 9 6 3 7 4 4 8

equals

5.8 9 5 9 6 3 7 4 4 8

Expression 27: "G" Subscript, 1 , Baseline equals "D" Subscript, 1 , Baseline equals 1.2 4 5 9 6 3 7 4 4 8

equals

1.2 4 5 9 6 3 7 4 4 8

Expression 28: "G" Subscript, 2 , Baseline equals "O" Subscript, 2 , Baseline equals 0

equals

Graphs

Expression 30: "y" less than 25 Has graph. To audio trace, press ALT+T.

Expression 31: left parenthesis, "R" cos "t" , "R" sin "t" , right parenthesis Has graph.

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 180

Expression 32: left parenthesis, "C" Subscript, 1 , Baseline plus "c" cos "t" , "C" Subscript, 2 , Baseline plus "c" sin "t" , right parenthesis Has graph.

domain t Minimum: 120

less than or equal to "t" less than or equal to

domain t Maximum: 120 plus 90

Expression 33: polygon left parenthesis, "A" , "F" , "D" , "F" , "A" , "G" , "D" , "G" , "B" , "E" , "C" , right parenthesis Has graph.

Points

R = b / 2