Unit 1
You can find the measure in both degrees and radians by using the Unit Circle that's on the top.
If we measure the angle in degrees, then the formula is
d(A,B) = R a/180,
d(A,B) = R a/180,
To measure the anlge in radians you therefore use this formula ; d(A,B) = R a,
Remember that:
1 radian = 180/ degrees, and 1 degree = /180 radian
Remember that:
1 radian = 180/ degrees, and 1 degree = /180 radian
Definition of radian : a radian is the measure of an angle that, when drawn a central angle of a circle, intercepts an arc whose length is equal to the length of the radius of the circle
Convert 200 Degrees into radian measure;
200 degrees x pie/180 D
=10 pie/9 radians = 3.49 radians.
200 degrees x pie/180 D
=10 pie/9 radians = 3.49 radians.
Sine & Cosine
As θ changes so does the position of the point P and thus the values of cos(θ) = x and sin(θ) = y also change. In this way thefunctions f(&theta) = cos(θ) and g(&theta) = sin(θ) are defined.
Right away the unit circle gives us properties of the cosine and sine functions. Since the point P lies on the unit circle, both the cosine and sine functions have range -1 to 1.
Right away the unit circle gives us properties of the cosine and sine functions. Since the point P lies on the unit circle, both the cosine and sine functions have range -1 to 1.
This graph is known as the sine wave, also known as Sinusoid. Sinusoids are considered to be the general form of the sine function.
The picture from above shows a right triangle and SOH-CAH-TOA. (SOH) stands for sine= opposite over hypotenuse. (CAH) stands for cosine= adjacent over hypotenuse. (TOA) stands for tangent= Opposite over adjacent. It gives you the angle so this equation would be Cosine because you have to look for the opposite and the hypotenuse since the hypotenuse is given.