[color=#000000]Thus, we can conclude that if 2 angles are ______________________ (see your answer to (1)), then the __________ of [b][color=#1e84cc]one angle[/color][/b] is equal to the ____________________ of its [b][color=#ff00ff]___________________ [/color][/b]! [br][br]Notice how the first 2 letters of the last 2 blanks are the same? Why is this? [/color]
[color=#000000]Thus, we can conclude that if 2 angles are [u][b]complementary[/b] [/u](see your answer to (1)), then the [u][b]sine[/b][/u] of one angle is equal to the [u][b]cosine[/b][/u] of its [b][u]complement[/u]! [br][br]The [color=#cc0000]"CO"[/color] in "[color=#cc0000]CO[/color]sine" literally means "[color=#cc0000]CO[/color]mplement", or "[color=#cc0000]CO[/color]mplement of sine"! [/b]That is, the sine of [b][color=#1e84cc]one acute angle[/color][/b] in a right triangle is the same as the [color=#cc0000][b]CO[/b][/color]sine of the [b][color=#ff00ff]other acute angle[/color][/b], [b][color=#ff00ff]its [color=#cc0000]CO[/color]mplement[/color][/b], in that right triangle! [br][/color]