Trig exam one Flashcards
Reference angle
The acute angle formed by the terminal side of an angle in standard position and the x-axis
Acute angle
Angle that measures less than 90 degrees
Obtuse angle
An angle that measures more than 90 degrees but less than 180
Initial side
The starting position of a ray
Terminal Side
The position of the ray after rotation
Coterminal angles
Angles that have the same terminal and initial sides
Pi radians
1/2 of a revolution
pi over 2 radians
1/4 of a revolution
pi over 3 radians
1/6 of a revolution
pi/4 radians
one eight of a revolution
Quadtrental angles
An angles whose side lies on the X-axis or y-axis such as zero , pi over 2, or 3pi/2
Two angles whose sum is 90 degrees
Complementary angles
Two angles whose sum is 180 degrees
Supplementary angles
S=R(theta)
Arc length formula
Unit circle equation
x^2+y^2=1
Sine(T)
y
Csc(T)
1/y
Cos(T)
x
Sec(T)
1/x
Tan(T)
y/x
Sine
Opposite over hypotenuse
CSC
Hypoteneuse over opposite
Cos
adjacent over hypotenuse
Sec
hypotenuse over adjacent
Tan
opposite/adjecent
Cot
adjacent/ opposite
R=square root of x squared+Y squared
How to find any trig angle
Quadrant one
Cos and sine are both positive
Quadrant 2
cosine is negative sine is positive
Quadrant 3
both cosine and sine are negative making tangent positive
quadrant 4
cosine is positive sine is negative
Reference angle
The acute angle formed by the terminal side of an angle in standard position and the x axis
Amplitude e
The absolute value of a