Using Euler's identity, (a) Find real, positive constants c and such that cos(2t) + sin(2t) =...

  

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Using Euler's identity, (a) Find real, positive constants c and such that cos(2t) + sin(2t) = c cos(2t+) for all values of t (b) Prove the following identities: (1) (3) sin (0) = = 1-cos(20) 2 4 sin (0) = 3 sin(0) sin (30) - Using Euler's identity, (a) Find real, positive constants c and such that cos(2t) + sin(2t) = c cos(2t+) for all values of t (b) Prove the following identities: (1) (3) sin (0) = = 1-cos(20) 2 4 sin (0) = 3 sin(0) sin (30) -