10.1/2 Flashcards
(29 cards)
Pythagorean Theorem
Used to find a side length on a right triangle
Pythagorean Theorem Formula
a^2+b^2=c^2
Types of Special Right Triangles
45-45-90
30-60-90
45-45-90
Leg = x
Leg = x
Hypotenuse = x * √2
30-60-90
Shorter leg = x
Longer leg = x * √3
Hypotenuse = 2x
Trigonometric Function
Function whose rule is defined by a trigonometric ratio
Trigonometric Ratio
Compares the lengths of two sides of the triangle specifically in relationship to one of the acute angles
Sine
Soh
Sinø= opposite/hypotenuse
Cosine
Cah
Cosø= adjacent/hypotenuse
Tangent
Toa
Tanø= opposite/adjacent
Cosecant
1/sinø
cscø= hypotenuse/opposite
Secant
1/cosø
secø= hypotenuse/adjacent
Cotangent
1/tanø
cotø= adjacent/opposite
Reciprocal Functions
Sine to cosecant/csc
Cosine to secant/sec
Tangent to cotangent/cot
sin45º
√2/2
cos45º
√2/2
tan45º
1
sin30º
1/2
cos30º
√3/2
tan30º
1/√3
sin60º
√3/2
cos60º
1/2
tan60º
√3
sinø = x
ø=sin^-1(x)