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4 years ago

15

Find all values of x in the interval [0, 2π] that satisfy the equation. (enter your answers as a comma-separated list.) 3|tan(x)

| = 3 g study

1 answer:

sdas [7]4 years ago

6 0

The absolute value of Tan(x) means that, while x = multiples of 45 degrees or Pi/4, the values are: Pi/4, 3Pi/4, 5Pi/4, 7Pi/4.

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3 years ago

( x + 2 )^2 - ( y + 2 )^2

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The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:

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So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.

In this case, the squares are obvious: $(x+2)^2$ is the square of $x+2$ , and $(y+2)^2$ is the square of $y+2$

So, we can factor the expression as

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(the round parenthesis aren't necessary, I used them only to make clear the two terms)

We can simplify the expression summing like terms:

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