Trig Function Equations

on . Posted in Trigonometry

  • trig functionHypotenuse: The side opposite the right angle "C", is the hypotenuse "c".
  • Opposite Leg: The side opposite to the angle needed "A", is the opposite side "a".
  • Adjacent Leg: The side opposite the hypotenuse and next to the angle needed, is the adjacent side "b".

 

Trig Function Formulas

\(\large{  sin\; \theta = \frac {opposite}{hypotenuse} }\)   

\(\large{  cos\; \theta = \frac {adjacent}{hypotenuse} }\)  

\(\large{  tan\; \theta = \frac {opposite}{adjacent} }\)  

\(\large{  csc\; \theta = \frac {hypotenuse}{opposite} }\) 

\(\large{  sec\; \theta = \frac {hypotenuse}{adjacent} }\)

\(\large{  cot\; \theta = \frac {adjacent}{opposite} }\)  

\(\large{  arcsin\; \theta = \frac {opposite}{hypotenuse} }\) 

\(\large{  arccos\; \theta = \frac {adjacent}{hypotenuse} }\)

\(\large{  arctan\; \theta = \frac {opposite}{adjacent} }\)

\(\large{  arccsc\; \theta = \frac {hypotenuse}{opposite} }\)

\(\large{  arcsec\; \theta = \frac {hypotenuse}{adjacent} }\)

\(\large{  arccot\; \theta = \frac {adjacent}{opposite} }\)

 

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