Please help with this question
1 answer:
Answer:
cos(x=pi/4)=
Step-by-step explanation:
Remember that
We need to find cos(x) from the above equation.
cos(x)= 12) / 13. This solution is positive since cos(x) in the range (2pi/3, 2pi) is positive.
Now, to obtain cos(x+pi/4) lets use the relation for cos(a+b)= cos(a)*cos(b)-sin(a)*sin(b)
where a=x, b =pi/4
Hence
cos(x+pi/4) =cos(x)*cos(pi/4) - sin(x)*sin(pi/4)
cos(x+pi/4) =
cos(x=pi/4)=
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and converting it into 
where d is the 'correctional number' as I like to call it - i.e. the number that converts the expanded bracket into the +c, since the expanded bracket will give us 
.
In this case, 2/2=1 so we have the first part:
.
Expanding this gives us
. We need c to be 9, so we can just add 8.
Putting this together:
Now we can solve it more easily.
Rearranging:
In this case, 2/2=1 so we have the first part:
Expanding this gives us
Putting this together:
Now we can solve it more easily.
Rearranging:
To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:
Equation of a circle:
The equation of a circle with center and radius r is given by:
Center at (16, 30)
This means that
Thus
Passes through the origin:
We use this to find the radius squared, as this means that is part of the circle. Thus
Thus, the equation of the circle is:
For another example to find the equation of a circle, you can look at brainly.com/question/23719612