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ira [324]
4 years ago
15

Verify the identity: cos4u = cos^2 (2u) - sin^2 (2u)

Mathematics
1 answer:
Svet_ta [14]4 years ago
8 0
Use the trigonometric identity:

\cos { \left( A+B \right) = } \cos { \left( A \right)  } \cos { \left( B \right)  } -\sin { \left( A \right) \sin { \left( B \right)  }  }

Now, if A=2u and B=2u:

\cos { \left( 2u+2u \right)  } \\ \\ =\cos { \left( 4u \right)  } \\ \\ =\cos { \left( 2u \right)  } \cos { \left( 2u \right)  } -\sin { \left( 2u \right) \sin { \left( 2u \right)  }  } \\ \\ =\cos ^{ 2 }{ \left( 2u \right) -\sin ^{ 2 }{ \left( 2u \right)  }  }
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Help me please!! all help is appreciated
kodGreya [7K]

Answer:

Surface Area

28\pi

Step-by-step explanation:

A = 2\pirh+2r^2

A = 2\pi(2)(5)+2\pi(2)^2

A= 20\pi+8\pi

A= 28\pi

6 0
3 years ago
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(GIVING BRAINLIEST!!)
Montano1993 [528]

Answer:

6450

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1kg = 1000g

6.45 x 1000 = 6450

3 0
3 years ago
Write a word phrase for the algebraic expression: d/5 + 2 A)The difference between the quotient of d and 5 and 2 B)The sum of 2
Paladinen [302]

Answer:

My answer to the question is option D

7 0
4 years ago
A fish tank contains tetras,guppies,and minnows. The ratio of tetras of guppies.Is 4:2.The ratio is minnows of guppies is 1:3. T
oksano4ka [1.4K]

Answer:

30

Step-by-step explanation:

Let number of tetras be "t"

number of guppies be "g"

number of minnows be "m"

Ratio of tetras to guppies is 4:2, or reducing, 2:1. Thus we can write:

\frac{t}{g}=\frac{2}{1}\\t=2g

Ratio of minnows to guppies is 1:3, so we can write:

\frac{m}{g}=\frac{1}{3}\\g=3m

or, m = g/3

Also, total there are 60 fish, so we can write:

t + g + m = 60

or

2g + g + g/3 = 60

Solving this, we can solve for g. Shown below:

2g+g+\frac{g}{3}=60\\3g+\frac{g}{3}=60\\\frac{9g+g}{3}=60\\10g=180\\g=18

Now, finding t and m:

m = g/3 = 18/3 = 6

m = 6

and

t = 2g

t = 2(18)

t= 36

There are 36 tetras and 6 minnows. So, there are

36 - 6 = 30 more tetras than minnows

4 0
3 years ago
Which of the equations below could be the equation of this parabola?
Effectus [21]
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where (h,k) is the vertex and "a" is the vertical stretch/shrink.
A negative sign in front of the "a" represents a reflection over the x-axis.

y = a(x-0)² + 0
y = a(x)²
Answer: B (y = 3x²)

5 0
4 years ago
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