How do you find the range of #y = -2 cos 3x#? Trigonometry Graphing Trigonometric Functions General Sinusoidal Graphs 1 Answer Alan P. Nov 25, 2015 Range of #y=-2cos3x# is #[-2,+2]# Explanation: Range of #cos(theta)# for any Real #theta# (including #3x#) is [-1,+1] Multiplying this by #(-2)# just stretches the range to #[2,-2]# Answer link Related questions What does sinusoidal mean? Given any sinusoidal equation, how do you identify the type of transformations that are made? How do you graph any sinusoidal graph? What does the coefficients A, B, C, and D to the graph #y=D \pm A \cos(B(x \pm C))#? What is the period, amplitude, and frequency for the graph #f(x) = 1 + 2 \sin(2(x + \pi))#? What is the period, amplitude, and frequency for #f(x)=3+3 cos (\frac{1}{2}(x-frac{\pi}{2}))#? How do you graph #y=2+3 \sin(2(x-1))#? How do you graph #y=2 cos(-x)+3#? How do you graph #y=3cos(4x)#? How do you graph #y=(cos2x)/2#? See all questions in General Sinusoidal Graphs Impact of this question 1506 views around the world You can reuse this answer Creative Commons License