lim x→π/2 1-sinx/cot^2x
any genious help please ​

Answers

Answer 1

Rewrite the limand as

(1 - sin(x)) / cot²(x) = (1 - sin(x)) / (cos²(x) / sin²(x))

… = ((1 - sin(x)) sin²(x)) / cos²(x)

Recall the Pythagorean identity,

sin²(x) + cos²(x) = 1

Then

(1 - sin(x)) / cot²(x) = ((1 - sin(x)) sin²(x)) / (1 - sin²(x))

Factorize the denominator; it's a difference of squares, so

1 - sin²(x) = (1 - sin(x)) (1 + sin(x))

Cancel the common factor of 1 - sin(x) in the numerator and denominator:

(1 - sin(x)) / cot²(x) = sin²(x) / (1 + sin(x))

Now the limand is continuous at x = π/2, so

[tex]\displaystyle\lim_{x\to\frac\pi2}\frac{1-\sin(x)}{\cot^2(x)}=\lim_{x\to\frac\pi2}\frac{\sin^2(x)}{1+\sin(x)}=\frac{\sin^2\left(\frac\pi2\right)}{1+\sin\left(\frac\pi2\right)}=\boxed{\frac12}[/tex]


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I = PRT

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Answer:

B

Step-by-step explanation:

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Answer:

radioactive dating of rocks

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The square root 5 is irrational because a square root of a positive number is either an integer or irrational number. Therefore it is irrational.

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Answers

Answer:

When you reflect a point of the x-axis you can apply:

(x,y) -> (x,-y)

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(2,-5) -> (2,5)

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Hope this helps!

Step-by-step explanation:

Scale factor from A to B is 4:5.
Help

Answers

Answer:

24

Step-by-step explanation:

4/5 = x/30, then (4×30)/5 =24

The missing value is 24.

We have,

From the figure,

We can write an expression as:

4:5 = x : 30

This can be written as,

4/5 = x/30

Now,

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x = 4 x 30 / 5

x = 4 x 6

x = 24

Thus,

The missing value is 24.

Learn more about expressions here:

https://brainly.com/question/3118662

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How do you write 60/100 and 40/100 as decimal expressions?

Answers

Answer:

60/100=0.6 , 40/100=0.4

Step-by-step explanation:

60/100=6/10

6/10=0.6

40/100=4/10

4/10=0.4

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Answer:

( x +1 ) ( x + 3 )

PLEASE HELP ITS DONE IN 16 HOURSSS!!!

question: A substance with 12 negatively charged atoms combined with a substance that has 10 positively charge atoms. What is the total charge of the substance when the atoms are combined?

answer options:
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-22
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Answers

The answer is -2 charged atoms

If I have six eggs I crack two I cooked two and I eat two how many eggs do I have left​

Answers

Answer:

4

Step-by-step explanation:

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If f(x) = 5x2 – 6x + 13 and g(x) = 6 – 4(x – 1) which is an equivalent form of f(x) + g(x)?

Answers

Answer:

61-4-2. (3t-a)(at+1) f. 6x2 - 17x+10. 16x-5X(x-2) e x-2x*-*+2 x2{x-2)-1(x-2). (x-2)(x2_1). (x-2)x+1)(x-) hi ** +5x2 +6 ... Leave your answers in simplest radical form if needed. ... 4. Let 'n(x)=x2-Ox and g(x)=2x-7. Find all values of x, for which h(x) = g(x) ... p=2 4p=8. (x+6*=8(y+3) x+6X+36=8Y+24. X*+6x +12= By gx+x+1=Y. 13.

Step-by-step explanation:

What is 3-2y+(-8y)+8.4 as a simplified expression

Answers

Answer:

-10y + 11.4

I hope this helps you out

Answer:

-10y+11.4

Step-by-step explanation:

you combine -2y with -8y to get negative -10y. Then you combine 3 and 8.4 to get 11. Variables usually come first in equations, I don't think it matters, but you might want to put them first anyway.

After a discount of 40%, the sale price of a ride pass at a fun park is $30. What is the original
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Answers

Answer:

30 divided by 0.40 = 75

The original price was $75

Step-by-step explanation:

30 divided by 0.40 = 75

The original price was $75

Highlight all of the Like Terms on questions 1-2 please!! (any color) (due in 5 minutes)

Answers

Answer:

1. 8,13,8,3,g

2. 8,13,3,g (Like term pair 1) and 8 (Like term pair 2)

Step-by-step explanation:

Hey guys can someone help me out?

Answers

Answer: yes with what

Step-by-step explanation:

3-gallon container of disinfectant costs $52.80. What is the price per cup?

Answers

The answer would be 17.6

In​ 2004, an art collector paid ​$62,817,000 for a particular painting. The same painting sold for ​$31,000 in 1950. Complete parts​ (a) through​ (d).
For part c, estimate the rate of change of the painting's value in 2026 but I want to know how to obtain the answer to the problem. Thanks!

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Answer:

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Step-by-step explanation:

Did you find it or do you need help

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x intercept (__ , __)
y intercept (__ , __) ​

Answers

Answer:

i think y=2 and x=-7

Step-by-step explanation:

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and 2 on the number line?
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5 units
8 units

Answers

Answer:

12 units

Step-by-step explanation:

Draw a number line and mark x = -10 and x = 2.  You can readily see that the distance from -10 to the origin is 10 units, and from the origin to 2 is 2 units, in both cases measured from left to right.  Adding these two positive quantities together, we get 10 + 2, or 12.

The distance from -10 to 2 on the number line is 12 units.

HEY can You help me with this work pls i need help don't put random. if u don't know it pls guys.

Answers

QUESTION 1

1️⃣Remove parentheses

6a+6+3x-2+2a+4

2️⃣Collect like terms

(6a+2a)+(6-2+4)+3x

3️⃣Simplify

8a+8+3x

Answer: 8a+8+3x

QUESTION 2

1️⃣Remove parentheses.

-2z-3+4c+6y+y+3c

2️⃣Collect like terms.

-2z-3+(4c+3c)+(6y+y)

3️⃣Simplify

-2z-3+7c+7y

Answer: -2z-3+7c+7y

QUESTION 3      

1️⃣Subtracting (7.8 - 5.1t) from (2.8 - 3.2t)  

(2.8 - 3.2t) - (7.8 - 5.1t)  

2️⃣Remove the parentheses.  

2.8 - 3.2t - 7.8 + 5.1t  

= 5.1t - 3.2t + 2.8 - 7.8 (we have now shown the difference in another way)  

3️⃣Subtracting the like terms, will give:

1.9t - 5  

4️⃣Recall  

(2.8 - 3.2t) - (7.8 - 5.1t).  

(-3.2t + 2.8) - (-5.1t + 7.8)

Answer:

a. (-3.2t + 2.8) - (-5.1t + 7.8)  

b. 1.9t - 5  

c. (-3.2t + 2.8) - (-5.1t + 7.8)

QUESTION 4

1️⃣Simplify

1/2p-(1/4p-4)

2️⃣Simplify

p2-(p/4-4)

3️⃣Simplify

p2-p/4+4

4️⃣Combine Terms

(p/2-p/4)+4

5️⃣Combine Terms

p/4+4

Answer: p/4+4

Done ✔

At an Auto Repair shop, 4 of the 16 cars received oil changes. What percent of the cars received oil changes?

Answers

Answer:

its 25 percent

Step-by-step explanation:

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(5,3)

Step-by-step explanation:

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Answers

Answer:

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Multiple Choice

Use the diagram below to answer questions 1–3.
Which angle is congruent to angle 1?
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C. angle6
D. angle7

Answers

Congruent means same as so angle 5 is correct

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Answers

try −23.375 pretty sure that’s it i did the math lmk if i’m wrong just in case

Answer:

x = 28

Step-by-step explanation:

given,  x/2 + 49 = 21/4

x/2 + 49 = 9x/4

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7x = 196

x = 28

I hope this helps a little bit.

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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