Determine which waveform in each of the following pairs is lagging: (a) cos 41, sin 41; (b) cos (41 – 80°), cos (41); (c) cos (41 + 80°), cos 4r; (d) -sin 51, cos (5t +2°); (e) sin 5t + cos 51, cos (5t – 45°).

8. Let us consider the following circuit: Vin R Vin (a) Find an expression for Vout in terms of Vin, d, R, C, and R. (b) For this part, assume R = R and R*C = 1s. Also take Vin to be a triangle wave of amplitude 1V and period 1s. Draw a plot of Vin and Vout- (The triangle wave should start from zero and rise linearly to its maximum of 1V, which it reaches at t = 0.5s; it should then decrease linearly back to OV, which it reaches at t = 1s.) (c) Consider changing the circuit to: R R Vi-W Cg RE www How would this change your results to (a) and (b)? (Hint: what are in and i, for the op-amp? This isn't hard!) (d) Consider the following circuit: + Find Vout as a function of V₁, R, RF, C, and RE RE ww Rg Ce Vout RE www Vout -Vout

9. PLOT.  Plot the sine wave at frequency fm and the sampling signal at frequency fs1. Write a MATLAB program to take input both fm and fs1 and plot the curves mentioned above.,.

how do this

how do this