Find all solutions in the interval [0, 2π). cos x = sin x.

1 answer:

7 0

Cos x = sin x
cos x - sin x = 0
cos^2 x - 2cos x sin x + sin^2 x = 0
1 - 2sin x cos x = 0
1 - sin 2x = 0
sin 2x = 1
2x = arc sin 1
x = (arc sin 1)/2
x = 45, 135

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What is the product?<br><br> 2x(x – 4)

sashaice [31]

Keywords:

<em>Product, factors, polynomial, distributive property </em>

For this case we must find the product of two factors of a polynomial. To do this, we must apply the distributive property, which states: $a (b + c) = ab + ac.$

So:

$2x (x - 4) = 2x * x-2x * 4\\2x (x - 4) = 2x ^ 2-8x$

Thus, the product of $2x (x - 4)$ is: $2x ^ 2-8x$

Answer:

The product of $2x (x - 4)$ is: $2x ^ 2-8x$

6 0

4 years ago

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The height of Mountain P is 1,086 feet.The height of Mountain Q is 4 times the height of Mountain P.The area model shown below r

earnstyle [38]

Answer:

A=4000, B=80, C=24

Step-by-step explanation:

You forgot to put the correct area model, I attached it to the answer.

We have the fact that Mountain Q is 4 times the height of Mountain P. That's the "4" we have in the left side of our model. It's like having a multiplication table, next to the "4" we have "A" and upper this we have "1000", the only thing we have to do is multiplify 4*1000=4000. The next letter we have is B and below it we have "320", we divided it by 4, 320/4=80. The last letter we have is C, and is below a "6", we only have to multiplify it by 4, 6*4=24.

At the end we only sum our