| sine(q) = opp/hyp | cosecant(q) = hyp/opp |
| cosine(q) = adj/hyp | secant(q) = hyp/adj |
| tangent(q) = opp/adj | cotangent(q) = adj/opp |
The functions are usually abbreviated: sine (sin), cosine
(cos), tangent
(tan) cosecant (csc), secant (sec), and cotangent (cot).
It is often simpler to memorize the the trig functions in terms of only sine
and cosine:
| sin(q) = opp/hyp | csc(q) = 1/sin(q) |
| cos(q) = adj/hyp | sec(q) = 1/cos(q) |
| tan(q) = sin(q)/cos(q) | cot(q) = 1/tan class=sym>q) |
| arcsine(opp/hyp) = q |
arccosecant(hyp/opp) = q |
| arccosine(adj/hyp) = q |
arcsecant(hyp/adj) = q |
| arctangent(opp/adj) = q |
arccotangent(adj/opp) = q |
The functions are usually abbreviated: arcsine (arcsin), arccosine (arccos), arctangent (arctan) arccosecant (arccsc), arcsecant (arcsec), and arccotangent (arccot). According to the standard notation for inverse functions (f-1), you will also often see these written as sin-1, cos-1, tan-1 arccsc-1, arcsec-1, and arccot-1. Beware, though, there is another common notation that writes the square of the trig functions, such as (sin(x))2 as sin 2 (x). This can be confusing, for you then mightthen be lead to think that sin-1(x) = (sin(x))-1, which is not true. The negative one superscript here is a special notation that denotes inverse functions (not multiplicative inverses).
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