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sin⁡2x+cos⁡4x\sin 2x + \cos 4x

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Add and subtract like terms: with exponentsright chevron icon

Full solution

Q. sin⁡2x+cos⁡4x\sin 2x + \cos 4x
  1. Combine like terms: Combine like terms if possible. sin⁡2x+cos⁡4x\sin 2x + \cos 4x
  2. No like terms: Realize there are no like terms to combine since sin⁡\sin and cos⁡\cos are different functions.
  3. Use trigonometric identities: Use trigonometric identities to simplify if possible. sin⁡2x\sin 2x can be left as is, but cos⁡4x\cos 4x can be written in terms of cos⁡2x\cos 2x using double angle formula: cos⁡4x=2cos⁡2(2x)−1\cos 4x = 2\cos^2(2x) - 1.

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