Answer:

Step-by-step explanation:
If Point C <em>was </em>located between A & B, then:

However, we are told Point C is <em>not</em>; therefore:

Answer:
Yes
Step-by-step explanation:
1) Cos 300 = Cos (360 - 60) = Cos 60 {Cos 360 - theta = Cos theta}
= 1/2
Sin 300 = Sin (360 - 60) = -Sin 60 = 
3) 3π/4 = 3*180/4 = 135
Cos 135 = Cos (90 + 45) = -Cos 45 = 
Sin 135 = Sin (90 + 45) = Sin 45 = 
Answer:
A = 0 +/- nπ radians , where n is an integer.
Step-by-step explanation:
cos 2A = cos^2 A
Use the identity cos 2A = 2 cos^2 A -1 :
2cos^2 A - 1 = cos^2 A
cos^2 A = 1
Cos A = +/-1
When cos A = 1, A = 0 +/- 2nπ radians.
when cos A = -1, A = π +/- nπ radians.
Answer:
y = 1.5x + 1.5
Step-by-step explanation:
First, plot 2x + 3y = 15 on a graph. Then plot (1,3) on a graph. After that, draw a line that passes through (1,3) and forms 90 degrees angles with 2x + 3y = 15. Then find the equation of that line by finding the y-intercept (0, 1.5). Then head up to the intersection point (1.6153846153846, 3.9230769230769). Subtract 1.5 from y. (2.4230769230769) Then divide by 1.5 (1.6153846153846). Reverse the operations you just did (in reverse order) to get the equation y = 1.5x + 1.5.
(I don't know how to explain this too well. Here's a graph to make more sense of it.)