Answer:
The solutions on the given interval are :
Step-by-step explanation:
We will need the double angle identity .
Let's begin:
Use double angle identity mentioned on left hand side:
Simplify a little bit on left side:
Subtract on both sides:
Factor left hand side:
Set both factors equal to 0 because at least of them has to be 0 in order for the equation to be true:
The first is easy what angles are -coordinates on the unit circle 0. That happens at and on the given range of (this is not be confused with the -coordinate).
Now let's look at the second equation:
Isolate .
Add 1 on both sides:
Divide both sides by 4:
This is not as easy as finding on the unit circle.
We know will render us a value between and .
So one solution on the given interval for x is .
We know cosine function is even.
So an equivalent equation is:
Apply to both sides:
Multiply both sides by -1:
This going to be negative in the 4th quadrant but if we wrap around the unit circle, , we will get an answer between and .
So the solutions on the given interval are :
36 two credit courses and 11 three credit courses has been taken.
<u>SOLUTION:
</u>
Given, each course in college X is worth either two or three credits. The members of the men’s swim team are taking a total of 47 courses that are worth a total of 105 credits
.
We have to number of two credit courses and three credit courses are being taken
.
Now, let the number of 2 credits courses be n, then number of 3 credits courses will be .
And, according to the given information, Total credits = 105
So, two credits courses count is 36, the three credit courses count is
She got 215....but if she would have gotten 10 more, she would have scored 60% of the total marks......so if she got (215 + 10) = 225 she would have scored 60% of the total marks...
so 60% of the total marks = 225
0.60x = 225
x = 225/0.60
x = 375 <===
okokokokokokokokokokokokokok