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Please show ALL WORK or no credit will be given. 1. Prove the identity. sin 4x = 2 sin 2x cos 2x 2. Solve algebraically

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Please show ALL WORK or no credit will be given. 1. Prove the identity. sin 4x = 2 sin 2x cos 2x 2. Solve algebraically for exact solutions in the interval [0, 21(]. Use your grapher only to support your algebraic work. cos 2x + cos x = 0 3. Use half-angle identities to find an exact value without a calculator. COS 75

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