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Nutka1998 [239]
3 years ago
12

Cos^2 2x−cos^2 6x=sin4x sin8x please help me prove it

Mathematics
1 answer:
Olin [163]3 years ago
4 0
Cos² 2x = (1+cos 4x )/2
cos² 6x  = (1+cos 12x)/2
subtract to get  1/2 (cos 4x - cos 12x )   
=  1/2 (2 sin  4x sin 8x )       as cos A - cos B =  2 [ sin (A+B)/2  sin (A-B)/2 ]
so the answer
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Theodore earned ​$ in interest after 4 years on a principal of ​$440. His simple interest rate is​ 4.2%. Bella earned ​$216 in i
vlada-n [284]

Answer:

Theodore's

the interest rate in Theodore's bank is higher

Step-by-step explanation:

A rational investor would want to invest in a bank that offers a higher interest rate because more money is usually preferred to less money.

If the same amount, 1500 was deposited in both banks,

interest in Theodore's bank after 4 years = 1500 x 0.042 x 4 = $252

$252 would be preferred to the $216 earned at Bella's bank

7 0
3 years ago
Find the value of f(-6).
Karo-lina-s [1.5K]
The value of f(-6) is -3.
3 0
3 years ago
6. If HJ = 7x - 27, find the value of x.<br> HI= 3x-5<br> IJ= x-1
Gnom [1K]

Answer:

x=7

Step-by-step explanation:

 x-1

3x-5

______

4x-6

4x-6= 7x-27

-4x    -4x  

___________

   -6= 3x-27

  +27      +27

____________

    21=  3x

divide both 21 and 3x by 3

\frac{21}{3}  =  \frac{3x}{3}

7 = x

x=7

6 0
4 years ago
5. <br> 56°<br> 94°<br> 4.5%<br> 1.5x
dedylja [7]

Answer:

Step-by-step explanation:

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8 0
3 years ago
Donte simplified the expression below. 4 (1 3 i) minus (8 minus 5 i). 4 3 i minus 8 5 i. negative 4 8 i. what mistake did donte
SCORPION-xisa [38]

Donte did a mistake that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have an expression:

= 4(1 + 3i) – (8 – 5i)

= 4 + 12i - 8 + 5i  

He did not distribute the subtraction sign correctly for 8 – 5i.

= -4 + 17i

Thus, Donte did a mistake in that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

5 0
2 years ago
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