Use the special angle triangles to show that Sinx=Cos(pi/2-x)?

[Hamid]

[h=1]Use the special angle triangles to show that Sinx=Cos(pi/2-x)?[/h]

 

[DrPhil]

Use the special angle triangles to show that Sinx=Cos(pi/2-x)?

By "special angle" triangles, I assume they mean pi/6, pi/4, and pi/3, to which you should add 0 and pi/2, and perhaps also the angle of a 3-4-5 triangle. What can you say about those angles?

 

[HallsofIvy]

Use the special angle triangles to show that Sinx=Cos(pi/2-x)?

You can't use "special angles" to show that something is true for all. You canof course, use a right triangle, noting that is one (non-right) angle is "x" then the other angle is pi/2- x.