Asked by Kathy
The graphs of y=sin(2x+pi/4) and y=cos(2x-pi/2) are identical...true or false?
Answers
Answered by
Reiny
recall sin x = cos (π/2 - x) or sin x = cos(90°-x)
so y = sin (2x + π/4)
= cos (π/2 - 2x - π/4)
= cos (-2x + π/4)
= cos (2x - π/4) , because cos (-x) = cos x
so , not true
so y = sin (2x + π/4)
= cos (π/2 - 2x - π/4)
= cos (-2x + π/4)
= cos (2x - π/4) , because cos (-x) = cos x
so , not true