trig term definitions

Trigonometry

primarily deals with 6 ratios called trigonometric functions

Quadrants

the four parts of the plane formed by the intersection of two coordinate axes

Angle

the amount of rotation it takes to move a ray from one position to another

Acute angle

angle measuring between 0 degrees and 90 degrees

Right angle

angle measuring 90 degrees

Obtuse angle

angle measuring between 90 degrees and 180 degrees

Right triangle

triangle with a right angle

Hypotenuse

the side opposite the right angle in a right triangle

Pythagorean Theorem

in a right triangle the sum of the squares of the lengths of the two shorter sides equals the square of the hypotenuse

sin x

opposite/hypotenuse

cos x

adjacent/hypotenuse

tan x

opposite/adjacent

cot x

adjacent/opposite

sec x

hypotenuse/adjacent

csc x

hypotenuse/opposite

Trigonometric Identity

an equation that holds true for all permissible values of the letter involved

Radian

an angle which, if its vertex is at the center of the a circle, subtends an arc equal in length to the radius of the circle