Answer: 
=========================================================
Explanation:
Use the pythagorean trig identity
and plug in the fact that 
Isolating sine leads to
. I'm skipping the steps here, but let me know if you need to see them.
The result is negative because we're in quadrant 4, when y < 0 so it's when sine is negative.
Therefore,

Answer:
Step-by-step explanation:
use desmos.com
Answer:
5x-6
Step-by-step explanation:
f(x) = 2x + 3
g(x) = 3x - 9
f(x) + g(x) = 2x + 3 + 3x-9
= 5x-6
Answer:
<h2>
Function is
y = x.</h2><h2>
Domain: 
.</h2><h2>
Range: 
.</h2>
Step-by-step explanation:
In the given image, the line passes through (-1, -1) and (1, 1).
Let the equation of the line is
, where m is the tangent of the line and c is a constant.
Putting the co-ordinates of the points in the equation, we get
and 
From the two equations we get, c = 0 and m = 1.
Hence, the function is y = x.
Domain is
.
Range is 
Answer:
0.75
Step-by-step explanation: