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Amiraneli [1.4K]
3 years ago
9

Using the expansions of cos(3x − x) and cos(3x + x), prove that

Mathematics
1 answer:
Rus_ich [418]3 years ago
5 0
Cos (A - B) = cos A cos B + sin A sin B
cos (A + B) = cos A cos B - sin A sin B

cos 2x = cos (3x - x) = cos 3x cos x + sin 3x sin x
cos 4x = cos (3x + x) = cos 3x cos x - sin 3x sin x

1/2(cos 2x - cos 4x) = 1/2(cos 3x cos x + sin 3x sin x - cos 3x cos x + sin 3x sin x) = 1/2(2 sin 3x sin x) = sin 3x sin x.
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A solid oblique pyramid has a regular pentagonal base. The base has an edge length of 2.16 ft and an area of 8 ft2. Angle ACB me
choli [55]
Volume of the pyramid:
V = 1/3 · B · h
B = 8 ft²
tan 30° = height / 7√3
1/√3 = height / 7√3
height = 7 ft
V =  1/3 · 8 · 7 = 18.67 ft³ ≈ 19 ft³
Answer : D ) 19 ft³
3 0
4 years ago
Read 2 more answers
What is true slope of (0,0) and (2,3)?
Mila [183]

Answer:

True slope=1.5

Step-by-step explanation:

1. 3-0=3

2. 2-0=2

3. 3/2

4. 1.5

5 0
3 years ago
En una ciudad se registró una temperatura de 12°c bajo cero a las 3:00 am si a las 7:00am del mismo dia la temperatura era tres
hjlf

Answer:

24°c

Step-by-step explanation:

Cuando se dice que la temperatura esta "mayor" significaria que esta aumentando y entorno subiendo a ser mas caliente. Siendo este el caso, si la temperatura a las 3:00 estaba a 12c bajo cero entonces a las 7:00 estaria a 24c. Esto es por que un aumento de tres vecesseria un aumento de 36 grados (12*3). 12c grados bajo cero seria un numero negativo y si sumamos estos numeros nos daria 24c grados.

-12 + 36 = 24

7 0
3 years ago
The Gross Domestic of a country in the first quarter of 2014 was $1.3299×10×8.<br> GPD=$
krek1111 [17]

The GDP of the country for 2014 is $5.3196 × 10⁸.

<h3>What is multiplication?</h3>

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given the Gross Domestic of a country in the first quarter of 2014 was $1.3299×10⁸. Therefore, the GDP of the country for that year will be,

GDP = 4 × (Gross Domestic for a single quarter)

         = 4 × ($1.3299×10⁸)

         = $5.3196 × 10⁸

Hence, the GDP of the country for 2014 is $5.3196 × 10⁸.

Learn more about Multiplication:

brainly.com/question/14059007

#SPJ1

6 0
2 years ago
PLEASE HELP!! I do not understand this. And can you explain it for me when I use it again?
damaskus [11]
Let's start b writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)

a.) When we reflect over xz plane x and z coordinates stay same, y coordinate  changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.

A(0,0,0)
Reflecting
A(0,0,0)

B(0,5,0)
Reflecting
B(0,-5,0)

C(3,5,0)
Reflecting
C(3,-5,0)

D(3,0,0)
Reflecting
D(3,0,0)


b.)
A(0,0,0)
Moving
A(-2,-3,1)

B(0,-5,0)
Moving
B(-2,-8,1)

C(3,-5,0)
Moving
C(1,-8,1)

D(3,0,0)
Moving
D(1,-3,1)
7 0
3 years ago
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