1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jenyasd209 [6]
2 years ago
5

Simplify cos^2 A/1+sin A

Mathematics
1 answer:
Stels [109]2 years ago
7 0

Answer:

\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)

Step-by-step explanation:

We want to simplify:

\displaystyle \frac{\cos^2(A)}{1+\sin(A)}

Recall the Pythagorean Identity:

\sin^2(A)+\cos^2(A)=1

So:

\cos^2(A)=1-\sin^2(A)

Substitute:

\displaystyle =\frac{1-\sin^2(A)}{1+\sin(A)}

Factor. We can use the difference of two squares pattern:

\displaystyle =\frac{\left(1-\sin(A))(1+\sin(A))}{1+\sin(A)}

Cancel. Hence:

\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)

You might be interested in
Solve this equation<br>5(-7x-3)- 8x=-230​
Brut [27]

Simplifying

5(7x + -3) = 230

Reorder the terms:

5(-3 + 7x) = 230

(-3 * 5 + 7x * 5) = 230

(-15 + 35x) = 230

Solving

-15 + 35x = 230

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 35x = 230 + 15

Combine like terms: -15 + 15 = 0

0 + 35x = 230 + 15

35x = 230 + 15

Combine like terms: 230 + 15 = 245

35x = 245

Divide each side by '35'.

x = 7

Simplifying

x = 7

5 0
3 years ago
When you roll a number cube, there are 6 possible _____.
IgorLugansk [536]
The correct answer is C, outcomes
7 0
3 years ago
Read 2 more answers
Evaluate the expression when c=4.<br>c²+5​
Sauron [17]
21 I think cause you use pemdas
4 0
2 years ago
Read 2 more answers
Which answer do I choose?
suter [353]

Answer:

last one

Step-by-step explanation:

p=21 + 2w

p-21=2w

p-21/2=w

7 0
2 years ago
You saved $20 per week to purchase one of three bikes in the store near your home. The starting price for the bikes is $130.
Neporo4naja [7]

Answer:

4 weeks

Step-by-step explanation:

basic math

6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for x.<br> <br> 13x + 7 = 5x - 20
    9·2 answers
  • I WILL MARK YOU BRAINLEST IF YOU HELP PLS HELP !!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • What is the most efficient first step to isolate the variable term on one side of this equation?
    9·1 answer
  • 5. Which number is a perfect cube? <br> 7<br> 25<br> 66<br> 27
    15·2 answers
  • Need help somebody help me plz
    10·1 answer
  • 30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...
    12·1 answer
  • What is the Value of x?
    10·2 answers
  • I NEED HELP SOON AS POSSIBLE!
    7·2 answers
  • Which of the following are integers?
    15·2 answers
  • Which of the following equations have no solution? Check all that apply.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!