Trigonometric Equations – HSC Math

Posted In: Mathematics

Whole number: n

  1. if $sin\ θ=sin\ a,$ then $θ=nπ+(-1)^n\ a$
  2. if $cosec\ θ=cosec\ a,$ then $θ=nπ+(-1)^n\ a$
  3. if $cos\ θ=cos\ a,$ then $θ=2nπ±a$
  4. if $sec\ θ=sec\ a,$ then $θ=2nπ±a$
  5. if $tan\ θ=tan\ a,$ then $θ=nπ+a$
  6. if $cot\ θ=cot\ a,$ then $θ=nπ+a$
  7. if $sin\ θ=0,$ then $θ=nπ$
  8. if $sin\ θ=1,$ then $θ=(4n+1)π/2$
  9. if $sin\ θ=-1,$ then $θ=(4n-1)π/2$
  10. if $cos\ θ=0,$ then $θ=(2n+1)π/2$
  11. if $cos\ θ=1,$ then $θ=2nπ$
  12. if $cos\ θ=-1,$ then $θ=(2n+1)π$
  13. if $tan\ θ=0,$ then $θ=nπ$

Post Tags: HSC | Trigonometry


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