We start with the more complicated side which is the left side, and show that, on using some trigonometric identities, we will get the term on the right side .
Using Quotient identity for tangent function, we will get
Taking out sine function from the numerator
Cancelling the common term of numerator and denominator
Width would have to be a quadratic
Use long division to find the other factor of the cubic polynomial P (x).
P (x) factors in case it is reducible over R[x]
if it weren't then P (x) mod R [x] would be a field
otherwise you could use the Eisenstein Criterion.
Since 300 is 100%, you treat it as such.
300/(100/70) = 210 (rounded)
You do a similar thing for 600
1/4 of 100 is 25
100/25 = 4
600 / 4 = 150
70% of 300 is more.
get a common denominator of 18
5/6 * 3/3 +4/9 * 2/2 - -2*18/18
15/18 +8/18 + 36/18
23/18 + 36/18
59/18
change to a mixed number
18 goes into 59 3 times with 5 left over
3 and 5 /18
You have to find the discriminat b^2 -4ac
If it is > 0, the function has two real solutions
if it is = 0, the function has one real solution
if it is <0, the function has no real solution
6^2 - 4(7)(3) = 36 - 84 = - 48
Answer c. no solution
