Unit 11 (Trigonometry) Flashcards
The theta is
The measure of a central angle in radian measures.
If an angle moves counter-clockwise, then it is
Positive.
If an angle moves clockwise, then it is
Negative.
Sin x is equal to
Opposite/Hypotenuse
Cos x is equal to
Adjacent/Hypotenuse
Tan x is equal to
Opposite/Adjacent
Csc x is equal to
Hypotenuse/Opposite
Sec x is equal to
Hypotenuse/Adjacent
Cot x is equal to
Adjacent/Opposite
If the ______ length is equal to the ___ length, the angle measures one radian
radius, arc
The terminal side of an angle in standard position is
the side of an angle that moves.
The pythagorean theorem is
A² + B² = C²
Pythagroean identity number one is
(sinθ)²+(cosθ)² = 1
Pythagorean identity number two is
(tanθ)²+1 = (secθ)²
Pythagorean identity number three is
1 + (cosθ)² = (cscθ)²
The cofunction of sin is
Cos
The cofunction of sec is
Csc
The confunction of tan is
Cot
A unit circle is
A circle that has a radius of one
The sin of a unit circle angle is always
The y value
The cos of a unit circle angle is always
The x value
The amplitude of a graph is
the maximum vertical height of the function
If a graph is flipped over the x axis, the amplitude is
negative
A cycle of a sin/cos graph is
when the graph has made it from it’s min to it’s max
The frequency of a sin/cos graph is
the number of cycles you see from 0-360 degrees
The period of a graph is
the number of degrees you graph in order to see one complete cycle
A sinosoidal function is
A function with sine or cosine
The arc length formula is
radius x theta
