All categories

4 years ago

Use the squared identities to simplify 2sin^2 x cos^2 x

Mathematics

1 answer:

guapka [62]4 years ago

3 0

The given question is

$2sin^2 x cos^2 x$

Multiplying and divide by 2

$\frac{4sin^2 x cos^2 x}{2} =\frac{(2 sinx cos x})^2{2}=\frac{sin^2(2x)}{2}$

Again multiplying and dividing by 2

$\frac{2sin^2(2x)}{4}$

And

$2 sin^2(2x)=1-cos(4x)$

So we will get

$\frac{1-cos(4x)}{4}$

Correct option is D

You might be interested in

Describe the relationship between the values of the given digit. The 4s in 44,000

Juli2301 [7.4K]

Answer:

one of them has a value that is ten times the value of the other one

Step-by-step explanation:

The most-significant 4 has a value of 40,000.

The least-significant 4 has a value of 4,000.

The most-significant 4 has a value that is 40,000/4,000 = 10 times that of the least-significant 4.

_____

The basis of a place-value number system is that the value of a digit is multiplied by the value of the base when the digit is placed one more place to the left in the number. That is, the digit in the 5th place to the left of the decimal point will have a value that is 10 times the value of the same digit in the 4th place to the left of the decimal point.

8 0

4 years ago

PLS HELP WILL GIVE BRAINLIAST !!!

DENIUS [597]

Answer:

32.5 feet long and 20 feet wide

Step-by-step explanation:

To solve for the length first, you have it measured as 26 in long and each 4 in is 5 ft so you can go ahead and divide 26 in by 4 in and that gives you 6.5 in so what we did was figure out how many 4 in were in 26 in and therefore we have a 6.5 and so just to match that to the 5 ft per each 4 in (in this case we have 6.5) so we multiply 6.5*5 and that equals 32.5 ft which is the length of the garden bed.

Next we are going to solve for the width which is 16 in wide in the scale and so again each 4 in is 5 ft so here again we're going to divide 16 in by 4 in and that equals 4 in and so again each 4 in is 5 ft so we're going to go ahead and multiply 4 * 5 and that gets you 20 ft which is the width of the garden bed.

8 0

3 years ago

The Monkey and the Cookie Jar

Svetradugi [14.3K]

Answer:

The theme is the monkey and the cookie jar

Step-by-step explanation:

The golden line is he was unwillingly not letting the cookies go but couldn't get his hand out

This is the golden line explanation because you can learn a lesson from this story. The lesson is to not be stubborn.

Please mark me as brainliest since I'm the one that actually answered your question

3 0

3 years ago

4+6×2=4+12 Is it True or False?

aniked [119]

Answer:

true

Step-by-step explanation:

first divide then multiply then add then subtract

6 0

3 years ago

Read 2 more answers

Use foil method (8a - 8)(4a + 1)

BlackZzzverrR [31]

The answer is: " 32a² − 24a − 8 " .
__________________________________________________
Given:
__________________________________________________
(8a − 8)(4a + 1) ; Let us expand this expression using the: "FOIL" method.
___________________________________________________
"FOIL" stands for "First terms, Outer terms, Inner Terms, Last Terms" ;
 in that order.
___________________________________________________
Basically:
_______________________________________________________
(a + b)(c + d) = ac + ad + bc + bd ;

in which the:

First term is: "ac" ;
Outer term is: "ad" ;
I nner term is: "bc" ;
Last term is: "bd " .
__________________________________
So; we have (given):

(8a − 8)(4a + 1) ;
__________________________________________________
Let's take the "First, Outer, Inner, and Last terms" ; as follows:
__________________________________________________
F: (8a)*(4a) = 32a² ;
__________________________________________________
O: (8a)*(1) = 8a ;
__________________________________________________
I : (-8)*(4a) = -32a ;
__________________________________________________
L: (-8)*(1) = -8
__________________________________________________
Now, let us write out these terms:
__________________________________________________
32a² + 8a − 32a - 8 ;
__________________________________________________
Now, combine the "like terms" in this expression; to simplify:

 + 8a − 32a = -24a ;
__________________________________________________
and rewrite the simplified expression ; which is:
__________________________________________________
 32a² − 24a − 8 .
______________________________________________________

6 0

3 years ago