Prove each of the following trigonometric identities. 1. sin xsin 2x+cos x cos2x = cos x 2. cotx=sin xsin 3. 5. 6. T 4. sec² x-2 secx cos x + cos²x = sin² x tan² x --x+cos x cotx 2 2 csc 2x = sec xcscx 1+cotxtany= sin(x + y) sin x cos y tan (+ x)+ tan(-x)- 2500 2x = = sec

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