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Ainat [17]
2 years ago
6

If a cot α = 1 and b cos α = 1, find a2 – b 2​

Mathematics
1 answer:
S_A_V [24]2 years ago
4 0

The equivalent expression of the<u> different of two square</u> is -1

Given the following expressions

a cot α = 1

a = 1/cot α = sinα/cosα

b = 1/cos α

We are to find the expression a² - b²

According to <u>difference of two squares;</u>

a² - b² =  (a + b) (a - b)

Substitute the given expressions into the formula as shown:

a^2 - b^2 = (\frac{sin \alpha}{cos \alpha} )^2 - (\frac{1}{cos \alpha} )^2\\a^2 - b^2=\frac{sin^2 \alpha}{cos^2 \alpha} -\frac{1}{cos ^2 \alpha}\\a^2 - b^2=\frac{sin^2 \alpha-1}{cos^2\alpha}\\a^2 - b^2=\frac{-(1-sin^2\alpha)}{cos^2\alpha} \\a^2 - b^2=\frac{-os^2 \alpha}{cos^2 \alpha}\\a^2 - b^2 = -1

This shows that the equivalent expression of the<u> difference of two squares</u> is -1

Learn more here: brainly.com/question/11084694

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Arrange the steps in the correct order to perform this subtraction problem 1.1 ( 10 3 ) − 4.9 ( 10 2 ) = 610
Norma-Jean [14]

We are given :  Expression 1.1 ( 10^3 ) − 4.9 ( 10^2 ) = 610.

Solution: In order to solve above given expression, we need to apply order of operations.

We can apply order of operations according to PEMDAS rule.

PEMDAS stands for Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

In the given problem, we need to simplify Parentheses first.

We have 10^3 and 10^2 in Parentheses.

10^3 = 10*10*10 = 1000.

10^2 = 10*10 = 100.

Substituting those values in original expression.

1.1 ( 1000 ) − 4.9 ( 100 ).

Now, we need to apply multiplication operation in 1.1*1000 and 4.9*100.

We get 1.1*1000 = 1100 and 4.9*100 = 490.

Substituting those values in above result we got.

1100-490.

Now, we can perform subtraction operation.

On subtracting 1100-490, we get 610.

And that is equal to 610.



7 0
3 years ago
BRAINLIEST!!!!!
Eduardwww [97]
Here are the answers:
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3 0
3 years ago
The height of a vase is 45.7 centimeters when rounded to the nearest tenth of a centimeter. What is the shortest possible height
vlada-n [284]

Answer:

45.650 centimeters

Step-by-step explanation:

The height of a vase is 45.7 centimeters when rounded to the nearest tenth of a centimeter. What is the shortest possible height of the vase? Give your answer to 3 decimal places

Given that :

Height of vase = 45.7 when rounded to the nearest tenth

The shortest possible height of the vase : will be 45.65, this is because, the subsequent digit (hundredth) after the tenth digit is the figure rounded to give a tenth digit of 7

From the we know that the tenth digit before rounding is 7 - 1 = 6

And smallest possible value the hundredth placed digit could have in other to be rounded to 1 is 5.

To three decimal place, the thousandth placed value could take the least possible value in a digit series, which is 0

Hence, the shortest possible height of the vase = 4.650

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3 years ago
I don’t understand what the answer is
lina2011 [118]

Answer:

3.14

Step-by-step explanation:

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