Find The value of each variable.
1 answer:
You might be interested in
Answer: It's a tie between f(x) and h(x). Both have the same max of y = 3
The highest point shown on the graph of f(x) is at (x,y) = (pi,3). The y value here is y = 3.
For h(x), the max occurs when cosine is at its largest: when cos(x) = 1.
So,
h(x) = 2*cos(x)+1
turns into
h(x) = 2*1+1
h(x) = 2+1
h(x) = 3
showing that h(x) maxes out at y = 3 as well
--------------------------------
Note: g(x) has all of its y values smaller than 0, so there's no way it can have a max y value larger than y = 3. See the attached image to see what this graph would look like if you plotted the 7 points. A parabola seems to form. Note how point D = (-3, -2) is the highest point for g(x). So the max for g(x) is y = -2
The highest point shown on the graph of f(x) is at (x,y) = (pi,3). The y value here is y = 3.
For h(x), the max occurs when cosine is at its largest: when cos(x) = 1.
So,
h(x) = 2*cos(x)+1
turns into
h(x) = 2*1+1
h(x) = 2+1
h(x) = 3
showing that h(x) maxes out at y = 3 as well
--------------------------------
Note: g(x) has all of its y values smaller than 0, so there's no way it can have a max y value larger than y = 3. See the attached image to see what this graph would look like if you plotted the 7 points. A parabola seems to form. Note how point D = (-3, -2) is the highest point for g(x). So the max for g(x) is y = -2
Answer: 44 degrees
=========================================================
Since the given angle -404 is not between 0 and 360, we add 360 to it to get:
-404 + 360 = -44
We add another 360 to that result
-44 + 360 = 316
now we have a value between 0 and 360
Rules:
* If the angle is between 0 and 90, we stop here and simply write down that value
* If the angle x is between 90 and 180, then we compute 180-x
* If the angle x is between 180 and 270, then we compute x-180
* If the angle x is between 270 and 360, then we compute 360-x
* Note in the three rules above, the order of subtraction is always (larger angle)-(smaller angle) = reference angle
* The reference angle has one segment on the x axis (aka the reference angle is adjacent to the x axis)
Based on that, we see that 316 is between 270 and 360, so we use the rule that
360-x
In this case, x = 316
So,
360-x = 360-316 = 44
The reference angle is 44 degrees and looks like what you see in the attached image.
=========================================================
Since the given angle -404 is not between 0 and 360, we add 360 to it to get:
-404 + 360 = -44
We add another 360 to that result
-44 + 360 = 316
now we have a value between 0 and 360
Rules:
* If the angle is between 0 and 90, we stop here and simply write down that value
* If the angle x is between 90 and 180, then we compute 180-x
* If the angle x is between 180 and 270, then we compute x-180
* If the angle x is between 270 and 360, then we compute 360-x
* Note in the three rules above, the order of subtraction is always (larger angle)-(smaller angle) = reference angle
* The reference angle has one segment on the x axis (aka the reference angle is adjacent to the x axis)
Based on that, we see that 316 is between 270 and 360, so we use the rule that
360-x
In this case, x = 316
So,
360-x = 360-316 = 44
The reference angle is 44 degrees and looks like what you see in the attached image.