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Question 8: Rotations in homogeneous coordinates Create a function called rotate(angle_in_deg). Be sure your function suppresses all output, as we will want to use it later inside a large for loop. This function should return the matrix R shown below, where we have defined d angle-in-deg cos d -sind R-|sin d cos d 0 Be sure your trig functions handle degrees. Get help on both cos and cosd When a 2D vector (x,y) is represented in (3D) homogeneous coordinates as X-y this matrix does exactly what you would expect, it rotates the vector by the given angle cos d -sin d RS=|sin d cos dolly-lxsin d + y cos d 0 Question 8: Paste your code for rotate(angle_in_deg) here, then include the output for the line included near the bottom. Show the value of n after the following commands. zrotate (45) * [5; 12; 1], z - Z(1:2), n - norm (z)