How do you graph y=sin(x+pi/2)y=sin(x+π2)? Trigonometry Graphing Trigonometric Functions Translating Sine and Cosine Functions 1 Answer Alan N. Mar 15, 2017 y=cos(x)y=cos(x) Explanation: sin(a+b) = sin(a)cos(b) + cos(a)sin(b)sin(a+b)=sin(a)cos(b)+cos(a)sin(b) Hence: sin(x+pi/2) = sin(x)cos(pi/2) + cos(x)sin(pi/2)sin(x+π2)=sin(x)cos(π2)+cos(x)sin(π2) = sinx*0 + cosx*1 =cosx=sinx⋅0+cosx⋅1=cosx :. the graph of y is the graph of cosx as below: graph{cosx [-6.243, 6.24, -3.12, 3.123]} Answer link Related questions How do you graph sine and cosine functions when it is translated? How do you graph y=sin ( x -frac{\pi}{2} )? How do you draw a sketch of y = 1 + cos (x - pi) How do you shift and graph y=-3+sinx? How do you graph y=3sin(1/3x+ pi/2)-2? How do you graph 1/2sin(x-pi)? How do you graph -sinx+2? How do you graph y=3sin(1/2)x? How do you graph y=-2cos((pix)/3)? How do you graph y = (1/2)sin(x - pi)? See all questions in Translating Sine and Cosine Functions Impact of this question 1574 views around the world You can reuse this answer Creative Commons License