Trigonometric Expression to Product Transformation

Posted In: Mathematics
  1. $sinθ+sinβ=2sin{θ+β}/2cos{θ-β}/2$
  2. $sinθ-sinβ=2cos{θ+β}/2sin{θ-β}/2$
  3. $cosθ+cosβ=2cos{θ+β}/2cos{θ-β}/2$
  4. $cosθ-cosβ=-2sin{θ+β}/2sin{θ-β}/2$
  5. $tanθ+tanβ={sin(θ+β)}/{cosθ\ cosβ}$
  6. $tanθ-tanβ={sin(θ-β)}/{cosθ\ cosβ}$
  7. $cotθ+cotβ={sin(β+θ)}/{sinθ\ sinβ}$
  8. $cotθ-cotβ={sin(β-θ)}/{sinθ\ sinβ}$
  9. $cosθ+sinθ=√2cos{π/4-θ)}=√2sin{π/4+θ)}$
  10. $cosθ-sinθ=√2sin{π/4-θ)}=√2cos{π/4+θ)}$
  11. $tanθ+cotβ={cos(θ-β)}/{cosθ\ sinβ}$
  12. $tanθ-cotβ={cos(θ+β)}/{cosθ\ sinβ}$
  13. $1+cosθ=2cos^2{θ/2}$
  14. $1-cosθ=2sin^2{θ/2}$
  15. $1+sinθ=2cos^2(π/4-θ/2)$
  16. $1-sinθ=2sin^2(π/4-θ/2)$

Post Tags: Trigonometry


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