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Hypotenuse

in a right triangle, the side opposite the right angle

sine

The ratio of the opposite side to the hypotenuse of a right triangle which means opposite over hypotenuse,

Cosine

The ratio of the adjacent side to the hypotenuse of a right triangle which means adjacent over hypotenuse,

Tangent

Domain: all real numbers besides pi/2+kpi, k is an integer. Range: All real numbers

a2+b2=c2

phythagorean's theorem

d2=l2+w2+h2

long diagonal formula

a2+b2<c2

obtuse triangle

a2+b2>c2

acute triangle

sin

o/h

cos

a/h

tan

o/a

30 60 90

sm-> large = x square root of 3

45 45 90

L-> L = =

SOH CAH TOA

The basic mnemonic for trigonometry

Trigonometry

A branch of Mathematics that links the angles and side lengths of triangles

sin

opposite/hypotenuse

cos

adjacent/hypotenuse

tan

opposite/adjacent

Adjacent

means "next to".

opposite

Two numbers that are an equal distance from zero on a number line; also called additive inverse.

a^2 + b^2 = c^2

used to check side lengths in a right triangle

theta

variable used to denote the referenced angle in a trig problem

smiley

can be used instead of a theta, great for stick figures

trig statement

something like sin(t) = opp/hyp

inv trig statement

something like sin(opp/hyp)^-1 = t, where t is theta or the measure of an angle