How do you graph $y=sin(x-135)$ ?

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Answer 1 · 2018-07-13T12:42:31

As below.

Standard form of sine function is $y = A cos (Bx - C) + D$

$y = sin (x - 135^@) = sin (x - (3pi)/4)$

$A = 1, B = 1, C = 3pi)/4, D = 0$

$Amplitude = |A| = 1$

Period $= (2 pi)/ |B| = (2 pi)/ 1 = 2pi$

Phase shift $= -C / B = ((-3pi)/4) / 1 = -(3pi)/4$ , $color(red)((3pi)/4)$ to the LEFT.

Vertical Shift $= D = 0$

graph{sin (x-((3pi)/4)) [-10, 10, -5, 5]}

How do you graph y=sin(x-135) y=sin(x-135)?