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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)

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SVETLANKA909090 [29]

Answer:

Angle 1: 141 degrees

Angle 2: 39 degrees

Angle 3: 141 degrees

Step-by-step explanation:

Angle 2 and Angle 4 are equal since they are vertical angles. This means that Angle 2 is equal to 39 degrees.

Angle 1 and Angle 4 add up to 180 degrees. We call these supplementary angles. This means that Angle 1 is equal to 180-39=141 degrees.

Angle 1 and Angle 3 are vertical angles, so Angle 3 is also equal to 141 degrees.

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1 year ago
To find the factors of a polynomial from its graph, follow this rule: if the number ___ is a root of a polynomial, then x-c is a
egoroff_w [7]

Solution

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Whenever we have a polynomial

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1 year ago
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Mamont248 [21]

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6 0
3 years ago
F(x)=-2x^2+4x+5<br> Find the critical numbers
frez [133]

Answer:

To find critical points, take the first derivative and set it equal to zero:

f(x) = -2x^2 + 4x + 5

f'(x) = -4x + 4

-4x+4 = 0

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Alternatively, if you mean zeros, or where the x intersects, you can use the quadratic equation.

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2 years ago
Lana runs a business where she fixes bikes. She charges $15.75 per hour for her labor as well as a $25 flat fee for any parts sh
Masja [62]

Answer:

y = 15.75x + 25 is the linear equation

$88 would be the total cost

Step-by-step explanation:

First, create the equation using y = mx + b, where x is the number of hours:

y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25

There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:

y = 15.75x + 25

Plug in 4 as x:

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So, the total cost would be $88

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