SOLUTION: Please help me with the following problem:
If we extablish an identity:
(cos^2 A)/(1 + sin A) would equal which of the following?
1. cos^2 A + cot A cos A
2. 1 + sin A
3. 1 -
Algebra.Com
Question 150175: Please help me with the following problem:
If we extablish an identity:
(cos^2 A)/(1 + sin A) would equal which of the following?
1. cos^2 A + cot A cos A
2. 1 + sin A
3. 1 - sin A
4. 1
Thank you, Lennie
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
}{1+\sin\left(A\right)})
Start with the given expression.
}{1+\sin\left(A\right)})
Rewrite )
as )
\right)\left(1+\sin\left(A\right)\right)}{1+\sin\left(A\right)})
Factor to get \right)\left(1+\sin\left(A\right)\right))
Cancel out the common terms.
)
Simplify
So simplifies to .
In other words, }{1+\sin\left(A\right)}=1-\sin\left(A\right))
where  \neq 0)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If we extablish an identity:
(cos^2 A)/(1 + sin A) would equal which of the following?
-----------------
cos^2 A = 1 - sin^2 A
-----------------
Your Problem:
cos^2 A / (1 + sin A)
= (1 - sin^2 A)/(1+sin A)
= [(1-sin A)(1+sin A)]/(1+sin A)
= 1 - sin A
-------------------------
Cheers,
Stan H.
1. cos^2 A + cot A cos A
2. 1 + sin A
3. 1 - sin A
4. 1
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