9.1-9.2 Quiz - Alg 2
360 degrees
2π Radians
Circumference
2πr
Area of a Sector
A = (1/2)(r^2)(angle) (angle in radians)
Coterminal angles
Add 360 degrees or subtract 360 degrees Add 2π or subtract 2π
Cosine (CAH)
Adjacent/Hypotenuse
Pythagorean Theorem
How to find a missing side of a triangle
Radians to Degrees
Multiply by 180/pi
Degrees to Radians
Multiply by pi/180
Secant (SEC)
Opposite of Cosine (Hypotenuse/Adjacent)
Cosecant (CSC)
Opposite of Sine (Hypotenuse/Opposite)
Cotangent (COT)
Opposite of tangent (Adjacent/Opposite)
Tangent (TOA)
Opposite/Adjacent
Sine (SOH)
Opposite/Hypotenuse
Arc Length
Radius x Angle (in radians)
Standard Position
Start with one line pointing on the x-axis to the right (3 o'clock position)
angle of depression
The angle formed by a horizontal line and the line of sight to an object below the horizontal line
inverse cosine
quadrant 1 and 2
inverse sine
quadrant 1 and 4
inverse tangent
quadrant 1 and 4 with vertical asymptote
to find tangent
sin/cos (y/x)
initial side of an angle
starting position of the rotated ray in the formation of an angle
reference angle
the acute angle formed by the terminal side of an angle in standard position and the x-axis
angle of elevation
the angle formed by a horizontal line and the line of sight to an object above the horizontal line
terminal side of an angle
the ray where measurement of an angle stops
180 degrees
π Radians
Circle Area
πr²
Draw triangle and label sides
When asked to find a trig function and you're given a different trig function you _________ _________ _____ ________ ______
Drawing angles
When doing this in radians, either convert to degrees and back to radians when done, or split up the graph into however many pieces the denominator has, and draw the line on however many pieces the numerator has
Inverse, trig function, fraction or decimal
When is asks to find the angle measure and you're given side lengths you _________, ______ __________, __________ __ ___________
Fraction
When it asks to find the value of the trig function indicated, answer should be left in a _________
Length
When solving these word problems, label the answer with the units used (feet, centimeters, etc.)
