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Trig Function Equations

 

Trig Function Formulas

\(  sin (\theta) \;=\;  \dfrac {opposite}{hypotenuse} \)   

\(  cos (\theta) \;=\; \dfrac {adjacent}{hypotenuse} \)  

\(  tan (\theta) \;=\; \dfrac {opposite}{adjacent} \)  

\(  csc (\theta) \;=\; \dfrac {hypotenuse}{opposite} \) 

\(  sec (\theta) \;=\; \dfrac {hypotenuse}{adjacent} \)

\(  cot (\theta) \;=\; \dfrac {adjacent}{opposite} \)  

\(  arcsin (\theta) \;=\; \dfrac {opposite}{hypotenuse} \) 

\(  arccos (\theta) \;=\; \dfrac {adjacent}{hypotenuse} \)

\(  arctan (\theta) \;=\; \dfrac {opposite}{adjacent} \)

\(  arccsc (\theta) \;=\; \dfrac {hypotenuse}{opposite} \)

\(  arcsec (\theta) \;=\; \dfrac {hypotenuse}{adjacent} \)

\(  arccot (\theta) \;=\; \dfrac {adjacent}{opposite} \)

  • 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".

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