E. 1/2
With trig functions, multiple x values correspond with the same y value.
Using an initial x value (the principle value), we can find other x values for the same y value, this is what we are are being asked to find in this question.
There are slightly different ways to find these x values (also known as solutions) for each of the basic trig functions.
The x values are in degrees for the basic trig functions.
For cosine, the rule is as follows:
360 - principle value;
this will give what I, personally, like to think of as a secondary principle value (this value is not actually recognised as a secondary principle value, I just like to think of it as such). Anyway, all other solutions can the be found by adding or substrating any integer multiple of 360 to/from the PV and 'secondary PV'.
For your question:
cos60 = 1/2
60 is the x value (PV)
so...
360 - 60 = 300 is the 'secondary PV'
Just to be clear, this means that if I were to find the cos300, I would get 1/2.
That is sufficient for explaining the answer to this particular question but if you wanted to find any other solution, you would just have to do either:
60 + or - n(360)
or...
300 + or - n(360),
where n = any integer
Answer:
![1\frac{2}{3}](https://tex.z-dn.net/?f=1%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
![2\frac{1}{2} * \frac{2}{3}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B2%7D%20%20%2A%20%5Cfrac%7B2%7D%7B3%7D)
![\frac{5}{2} *\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20%2A%5Cfrac%7B2%7D%7B3%7D)
![\frac{10}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B6%7D)
![\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D)
.....<em>final answer.</em>
Hi there!
There are many ways to find the measure of an exterior angle of a triangle. I'll explain the easiest method to you. As you can see in the image, a line is drawn extending a side of the triangle. In order to find the measure of the exterior angle, we can subtract the measure of the
adjacent interior angle from 180 (a straight angle). Doing this subtraction will give us the measure of the exterior angle.
Hope this helps!! :)
Answer:
Hello! answer: 16
Step-by-step explanation:
These are a bit different instead your solving for B so you have to work backwords so... 20 × 20 = 400 12 × 12 = 144 400 - 144 = 256 now we just find out what multiplied by itself = 256 16 × 16 = 256 therefore b = 16 Hope that helps!
Answer:
x = 5/2
Step-by-step explanation:
2^x+4 = 2^3x-1
x + 4 = 3x - 1
3x - x = 4 + 1
2x = 5
x = 5/2