First lets see the pythagorean identities

So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is

Now we need to check the sign of sin theta
First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.
So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .
45 of a number refers to 180, and 54 refers to 216. So 100 of a number is 400 and 1 of a number is 4. If 54x - 45x = 36, just plug in 4 and double check: 54(4) - 45(4) = 36 or 216 - 180 = 36, which is true.
Answer:
Amount theta she is putting in Checking account is 2272.80
Step-by-step explanation:
Given:
Amount on check = 2941
Amount that he want in cash = 100
Amount she put in saving account = 20% of remaining after getting cash
Remaining Amount she put in checking account.
To find: Amount in her Checking Account.
Amount left after taking cash = 2941 - 100 = 2841
Amount that she put in saving account = 20% of 2841 =
= 568.20
Amount in her checking account = 2941 - 100 - 568.20 = 2272.8
Therefore, Amount theta she is putting in Checking account is 2272.80