Sine, Cosine, and Tangent Functions

Values of Sin-Cos-Tan 

Sine, Cosine and Tangent are all based on a Right-Angled Triangle.



  • "Opposite" is opposite to the angle θ
  • "Adjacent" is adjacent (next to) to the angle θ
  • "Hypotenuse" is the long one


Adjacent is always next to the angle
And Opposite is opposite the angle


For a triangle with an angle θ, they are calculated this way:

Sine Function:
sin(θ) = Opposite / Hypotenuse
Cosine Function:
cos(θ) = Adjacent / Hypotenuse
Tangent Function:
tan(θ) = Opposite / Adjacent
In picture form:
How to remember? Think "Sohcahtoa"! It works like this:

Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent

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