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.)