Factor x4 − 7x2 + 12.

Please someone help me...

laiz [17]

Step-by-step explanation:

First factor out the negative sign from the expression and reorder the terms

That's

$\frac{1}{ - (( \tan(2A) - \tan(6A) )} - \frac{1}{ \cot(6A) - \cot(2A) }$

<u>Using trigonometric </u><u>identities</u>

That's

<u>Rewrite the expression</u>

That's

$\frac{1}{ - (( \tan(2A) - \tan(6A) )} - \frac{1}{ \frac{1}{ \tan(6A) } } - \frac{1}{ \frac{1}{ \tan(2A) } }$

We have

<u>Rewrite the second fraction</u>

That's

Since they have the same denominator we can write the fraction as

$- \frac{1 + \tan(6A) \tan(2A) }{ \tan(2A) - \tan(6A) }$

Using the identity

<u>Rewrite the expression</u>

We have

<u>Using the trigonometric identity</u>

<u>Rewrite the expression</u>

That's

Which is

<u>Using the trigonometric identity</u>

Rewrite the expression

That's

<u>Simplify the expression using symmetry of trigonometric functions</u>

That's

<u>Remove the parenthesis </u>

We have the final answer as

As proven

Hope this helps you

6 0

3 years ago

Read 2 more answers

Pleaseeeeee help !!

umka21 [38]

$A.\\-vp+40 < 95\qquad\text{subtract 40 from both sides}\\\\-vp < 55\qquad\text{change the signs}\\\\vp > -55\qquad\text{divide both sides by p}\\\\If\ p > 0\ then\ v>-\dfrac{55}{p}.\\\\If\ p < 0\ then\ v < -\dfrac{55}{p}$

$B>\\8w-3r=45\qquad\text{subtract 8 from both sides}\\\\-3r=-8w+45\qquad\text{change the signs}\\\\3r=8w-45\qquad\text{divie both sides by 3}\\\\r=\dfrac{8w-45}{3}$

4 0

3 years ago

The equation 2x + 4k − 9 = kx − k + 1 is really a family of equations, because for each value of k, we get a different equation

Olegator [25]

You haven't shared "the given value of x," or, if you have, you haven't drawn attention to it.

Just suppose we were to choose x = 4 as a possible solution and then try to find a value of the parameter k that would make x = 4 an actual solution.

2(4) + 4k - 9 = (4)(4) - (4) + 1

Then 8 + 4k - 9 = 16 - 4 + 1, or 4k - 1 = 13. Then 4k = 14, and k = 14/4, or (after reduction) k = 7/2

If the parameter k equals 7/2, then x = 4 is a solution to the given equation.

To check this out further, start with the proposed solution x = 5 and find k.

3 0

3 years ago

Which of the following is an advantage of using a debit card compared to using a check or credit card?

ozzi

Answer:

there is no need to focus on keeping your credit score up which can be a good thing and a bad thing

Step-by-step explanation:

5 0

3 years ago

The left and right page numbers of an open book are two consecutive integers whose sum is 321

Andre45 [30]

Answer:

160 and 161

Step-by-step explanation:

x is the first page and x + 1 is the second page

combine them and you get 2x + 1

2x +1 = 321

this simplifies to

2x = 320

divide by 2

320 = 160

give me brainliest

8 0

3 years ago