a. Transform cos 13 cos 28 to a sum (or difference) of sines or cosines with positive

Chapter 5, Problem R.5

(choose chapter or problem)

a. Transform cos 13 cos 28 to a sum (or difference) of sines or cosines with positive arguments. b. Transform sin 5 sin 8 to a product of sines and cosines with positive arguments. c. Figure 5-7h shows the graph of y = 4 sin x sin 11x. Transform the expression on the right-hand side of this equation to a sum (or difference) of sinusoids whose arguments have positive coefficients. Check graphically that your answer and the given equation both agree with Figure 5-7h. d. Solve 2 sin 3 + 2 sin = 1 algebraically for [0, 360]. e. Use the sum and product properties to prove that cos(x + ) cos(x ) = cos2 x is an identity. R