2. HOW TO MEASURE IN BOTH DEGREES &
RADIANS
An angle is an opening of a circle measured
in degrees & a radian is a measurement
that is equal to the length of the radius
which is the same as the arc length. Every
angle is equal to a radian. Multiplying any
radian by 180/∏
3. SINE AND COSINE
Sine and cosine are the x and y values of the unit
circle
Every angle, radian or degree has a corresponding
(x,y) coordinate on the unit circle
4. SINE AND COSINE
The sine graph begins at the origin, the cosine
graph begins at 1
5. SOLVING FOR SINE AND COSINE
Solving for sine and cosine, you need and angle
and the hypotenuse
Plugging in what you know, can solve for other
sides and angles.
Using the Pythagorean theorem and the Law of
Cosines and the Law of Sines, inverse cosine and
inverse sine may also help
6. UNIT 2
F(x)= a sin (bx+c)+d
F(x)= a cos (bx+c)+d
The frequency of the graphs is the number of
waves per minute
The period is the duration of a wave
The amplitude is the height (y-axis) a wave goes
7. UNIT 2
A phase shift refers to a horizontal or vertical
translation according to the equation. The phase
shift is defined by c (F(x)= a sin (bx+c)+d ) . If c is
negative the graph shifts over to the right, if it is
positve it shifts to the left.
The image below shows the shift of a cosine graph
starting from one to zero, also the period of each
wave decreases creating more
Waves within one period.
8. UNIT 2
Inverse sin-1 / arcsine
Inverse cos-1 / arccosine
Inverse tan-1 / arctangent
The inverse and the arc finds the measurement of
the angle
Example :cos150°
150° is equal to 5/6
giving the angle a coordinate
of (-√3/2, ½)
Cosine is equal to x , sine
is equal to y
Therefore, cos150° is -√3/2
