How would you convert f(x) = 20sin(π/6(t)) + 4 into a cosine function? Trigonometry Graphing Trigonometric Functions Translating Sine and Cosine Functions 1 Answer Shwetank Mauria Jan 2, 2017 #f(x)=20cos(pi/6(3-t))+4# Explanation: To convert #f(x)=20sin(π/6(t))+4# into cosine function, we can use the identity #cos(pi/2-A)=sinA# Hence #sin(π/6(t))=cos(pi/2-π/6(t))# = #cos(pi/6(3-t))# Hence #f(x)=20cos(pi/6(3-t))+4# 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 1369 views around the world You can reuse this answer Creative Commons License