Trigonometric Multiple Angle Formulas

Posted In: Mathematics
  1. $sin\ 3θ=3sinθ-4sin^3θ=3cos^2θ\ sinθ-sin^3θ$
  2. $sin\ 4θ=4sinθ\ cosθ-8sin^3θ\ cosθ$
  3. $sin\ 5θ=5sinθ-20sin^3θ+16sin^5θ$
  4. $cos\ 3θ=4cos^3θ-3cosθ=cos^3θ-3cosθ\ sin^2θ$
  5. $cos\ 4θ=8cos^4θ-8cos^2θ+1$
  6. $cos\ 5θ=16cos^5θ-20cos^3θ+5cosθ$
  7. $tan\ 3θ={3tanθ-tan^3θ}/{1-3tan^2θ}$
  8. $tan\ 4θ={4tanθ-4tan^3θ}/{1-6tan^2θ+tan^4θ}$
  9. $tan\ 5θ={tan^5θ-10tan^3θ+5tanθ}/{1-10tan^2θ+5tan^4θ}$
  10. $cot\ 3θ={cot^3θ-3cotθ}/{3cot^2θ-1}$
  11. $cot\ 4θ={1-6tan^2θ+tan^4θ}/{4tanθ-4tan^3θ}$
  12. $cot\ 5θ={1-10tan^2θ+5tan^4θ}/{tan^5θ-10tan^3θ+5tanθ}$

Post Tags: Trigonometry


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