2 years ago

How do I factor this? cos^4x - sin^4x

Mathematics

2 answers:

padilas [110]2 years ago

6 0

Answer: https://socratic.org/questions/how-do-you-simplify-cos-4x-sin-4x#618537

IgorLugansk [536]2 years ago

4 0

Answer:

Step-by-step explanation:

FYI,

a² - b² = (a + b)(a - b)

f(x) = $cos^{4} x$ - $sin^{4} x$ = (cos²x + sin²x)(cos²x - sin²x) =

= (cos²x + sin²x)(cos x + sin x)(cos x - sin x)

If you need to simplify, then

f(x) = 1 × (cos²x - sin²x) = cos(2x)

You might be interested in

Find the common difference of an Arithmetic progression of 7,11,15,19...

docker41 [41]

Answer:

Step-by-step explanation:

The numbers above are all odd number

The arithmetic progression is the addition of +4

7+4=11

11+4=15

15+4=19

5 0

3 years ago

The absolute value of the sum of two different integers with the same sign is 8.Pat says there are three pairs of integers that

ludmilkaskok [199]

Answer:

see the explanation

Step-by-step explanation:

I don't agree, there are 6 pairs of numbers

because

The pairs of integers are

$+1 \ and +7$ ----> $\left|1+7\right|=8$

$+2 \ and +6$ ----> $\left|2+6\right|=8$

$+3 \ and +5$ ----> $\left|3+5\right|=8$

$-1 \ and -7$ ----> $\left|-1-7\right|=8$

$-2 \ and -6$ ----> $\left|-2-6\right|=8$

$-3 \ and -5$ ----> $\left|-3-5\right|=8$

3 0

3 years ago

40: PLEASE HELP Write the equation that describes the line with slope=-6 and y-intercept=2 in slope intercept form. Example y=mx

mezya [45]

Answer:

y= -6x+2

Step-by-step explanation:

y=mx+b

Slope is also known/substituted by the variable m. Therefore we can come to the conclusion that m=-6.

y=-6x+b

Y-intercepts are substituted with the variable b. Therefore we can substitute the 2 as b, meaning b=2.

Leaving you with the final answer of:

y= -6x+2

5 0

3 years ago

HELP! BRAINLIEST ANSWER OFFERD.

UkoKoshka [18]

Answer:line d

Step-by-step explanation:

Look at they y intercept

4 0

3 years ago

Solve the following system of equations using the substitution method 5x+3y=1 X+2y=3

max2010maxim [7]

Answer:

x= -1

y= 2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers