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Formulas of sine,cosine,tangent,cosecant ?

Sagot :

Remember   SOH CAH TOA    for   RIGHT TRIANGLES only!

[tex]sin = \frac{opposite}{hypotenuse}[/tex]

[tex]cos = \frac{adjacent}{hypotenuse} [/tex]

[tex]tan = \frac{opposite}{adjacent}=\frac{sin}{cos}[/tex]

Cosecant is the reciprocal of sin.
[tex]csc = \frac{hypotenuse}{opposite} [/tex]

Secant is the reciprocal of cos.
[tex]sec = \frac{hypotenuse}{adjacent} [/tex]

Cotangent is the reciprocal of tan.
[tex]cot = \frac{adjacent}{opposite} = \frac{cos}{sin}[/tex]


For a circle whose center is the origin and with radius r:

[tex]sin = \frac{y}{r} [/tex]

[tex] cos = \frac{x}{r} [/tex]

[tex]tan = \frac{y}{x}[/tex]

[tex]csc = \frac{r}{y} [/tex]

[tex]sec = \frac{r}{x} [/tex]

[tex]cot = \frac{x}{y} [/tex]