If Sin 3x= Cos (x-60), find the value of x
1 answer:
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
You might be interested in
Answer:
The average number of machine cycles per instruction for this microprocessor is 5.8.
Step-by-step explanation:
To find the average number of machine cycles per instruction for this microprocessor, we multiply each number of cycles for it's relative frequency.
We have that:
25% require 2 cycles.
20% require 3 cycles.
17.5% require 4 cycles.
12.5% require 8 cycles.
25% require 12 cycles.
So the average number is:
Answer:
Function:
Domain:
Step-by-step explanation:
Given
Registration Fee = 150
Entrants = 50 (maximum)
Solving (a): Create a function
Let the number of entrants be x.
If 1 entrant pays 150, then x entrants will pay 150x.
So:
The minimum entrant is 0 (i.e. no entrant shows up) and from the question, the maximum is 50
So, the domain can be represented as:
Hence, the function is:
(b) : The domain
The domain has been described above as:
<em>"The minimum entrant is 0 (i.e. no entrant shows up) and from the question, the maximum is 50"</em>
<em>"So, the domain can be represented as: </em><em>"</em>