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Level 479

Solving Right Triangles


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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