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Eduardwww [97]
3 years ago
14

I forgot to do my homework this weekend and it is lat so if anyone could help me that would be great

Mathematics
1 answer:
Sophie [7]3 years ago
6 0
1. .55555556
2. -.375
3. -.27272727
4. .23333333
5. .41666667
6. -.6666667
7. -.5909090
8. .83333333
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Prove-: sin5A = 5cos^4 A sinA - 10cos^2 A sin^3 A + sin^5 A
jeyben [28]
A=x\\\\sin5x=5cos^4xsinx-10cos^2xsin^3x+sin^5x\\\\L=sin(3x+2x)=sin3xcos2x+sin2xcos3x=(*)\\-------------------------------\\sin3x=sin(2x+x)=sin2xcosx+sinxcos2x\\=2sinxcosxcosx+sinx(cos^2x-sin^2x)\\=2sinxcos^2x+sinxcos^2x-sin^3x=3sinxcos^2x-sin^3x\\-------------------------------

sin3xcos2x=(3sinxcos^2x-sin^3x)(cos^2x-sin^2x)\\=3sinxcos^4x-3sin^3xcos^2x-sin^3xcos^2x+sin^5x\\=3sinxcos^4x-4sin^3xcos^2x+sin^5x\\-------------------------------

cos3x=cos(2x+x)=cos2xcosx-sin2xsinx\\=cosx(cos^2x-sin^2x)-2sinxcosxsinx\\=cos^3x-sin^2xcosx-2sin^2xcosx=cos^3x-3sin^2xcosx\\-------------------------------

sin2xcos3x=2sinxcosx(cos^3x-3sin^2xcosx)\\=2sinxcos^4x-6sin^3xcos^2x\\-------------------------------


(*)=3sinxcos^4x-4sin^3xcos^2x+sin^5x+2sinxcos^4x-6sin^3xcos^2x\\\\=5sinxcos^4x-10sin^3xcos^2x+sin^5x=R

=======================================\\\\sin(\alpha+\beta)=sin\alpha cos\beta+sin\beta cos\alpha\\\\cos(\alpha+\beta)=cos\alpha cos\beta-sin\alpha sin\beta\\\\sin2\alpha=2sin\alpha cos\alpha\\\\cos\alpha=cos^2\alpha-sin^2\alpha
5 0
3 years ago
Write down 20 irrational numbers please
Shtirlitz [24]
1.414213
2.718281
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5 0
3 years ago
What is the volume of the regular pyramid below?
daser333 [38]

The volume of the regular pyramid is 128 unit³.

Option D) 128 unit³ is the correct answer.

This question is incomplete, the missing image is uploaded along this answer below.

<h3>What is the volume of the regular pyramid?</h3>

The volume of pyramid is expressed as;

V = ( 1/3 ) × l × w × h

Given that;

  • Length l = 8
  • Width W = 8
  • Height h = 6

We substitute our given values into the equation above.

V = ( 1/3 ) × 8 × 8 × 6

V = 128 unit³

The volume of the regular pyramid is 128 unit³.

Option D) 128 unit³ is the correct answer.

Learn more about volume of pyramid here: brainly.com/question/17615619

#SPJ1

3 0
2 years ago
New window
mixas84 [53]

Answer:

um what

Step-by-step explanation:

7 0
3 years ago
I need help with this question
Cloud [144]

Answer: given and explained briefly below.

In these questions, we go right to left of the function to solve.

(a)

given that

f(x) = x - 3

g(x) = x + 3

(i) fg(x)

= f(x + 3)

= ( x +3 ) -3

= x

(ii) gf(x)

= g(x-3)

= (x-3)+3

= x

to find inverse, we have to make x the subject,

1)

f(x) = x - 3

f(x) + 3 =x

f^-1(x) = x + 3

2)

g(x) = x + 3

g(x) -3 = x

g^-1(x) = x -3

  • f and g are inverses of each other

(b)

given that

f(x) = -1/4x

g(x) = 1/4x

fg(x) =

f(1/4x)

1/4(-1/4x)

= x

2)

gf(x)

g(-1/4x)

-1/4(1/4x)

= -x

<u>to find inverse, we have to make x the subject,</u>

1)

f(x) = -1/4x

-1/f(x) = 4x

f^-1(x) = -1/4x

2)

g(x) = 1/4x

x = 1/4g(x)

g^-1(x) = 1/4x

  • f and g are not inverses of each other here.
4 0
2 years ago
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