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Trigonometry
Getting started
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Angles and their measure
complementary and supplementary angles (4:00)
sketching angles in standard position (10:14)
quadrant of the angle (8:19)
converting between degrees and dms (6:56)
finding coterminal angles (23:19)
functions of negative angles
converting between degrees and radians (8:18)
oriented arc for a real number (5:41)
area of a circular sector (3:51)
linear and angular velocity
Six circular functions
find the value or say where it's undefined (8:25)
find all six trig functions given the quadrant of the angle (12:04)
find all six trig functions at the coordinate point (7:37)
find all six trig functions using reciprocal identities (5:27)
angle of depression and elevation (4:23)
proving the trig equation (5:37)
proving the trig equation with pythagorean identities (5:49)
The law of sines and law of cosines
law of sines (6:14)
law of cosines (7:05)
law of sines for area of a triangle (5:50)
heron's formula for area of a triangle (6:54)
The unit circle
introduction to the unit circle (18:15)
finding sine and cosine of an angle theta (4:07)
finding sine given cosine, or vice versa (10:00)
all possible values for the angle theta (17:33)
all possible values for the real number t (3:50)
completing a triangle (6:01)
given a point on the terminal side of the angle (3:48)
Graphing the trig functions
period and amplitude (5:40)
sketching sine and cosine (12:10)
comparing sine and cosine graphs (8:20)
sequence of transformations (5:36)
transformations, algebraically (5:15)
sketching graphs of transformations (4:29)
Trig identities
even-odd identities (4:40)
sum-difference identities (34:53)
half-angle identities (8:47)
double-angle identities (6:10)
product-to-sum identities (3:38)
sum-to-product identities (3:03)
using trig identities to prove the equation (8:36)
listing the solutions in the interval (22:18)
Final exam
trigonometry final exam
oriented arc for a real number
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