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3 years ago

Is 4.78778777... a rational or irrational number?

Mathematics

1 answer:

Basile [38]3 years ago

8 0

Answer:

irrational is the answer.

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Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ

Anit [1.1K]

Double angle identity for sine:

$\sin(2x) = 2 \sin(x) \cos(x)$

$\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)$

Factorize the left side.

$2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)$

Pythagorean identity:

$\cos^2(x) + \sin^2(x) = 1$

$\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)$

so that

$\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}$

8 0

1 year ago

Find area and perimeter

alisha [4.7K]

Answer:

Perimeter

P = P1+P2

P1 = 4a P2=2(a+b)

P1=4*5 P2=2(3+5)

P1=20 P2=2*8

P2=16

P = 20+16

P=36

Area

A=A1+A2

A1= $a^{2}$ A2=a*b

A1= $5^{2}$ A2=3*5

A1=25 A2=15

A=25+15

A=40

5 0

3 years ago

Need some help just can’t understand

allochka39001 [22]

Answer:

Positive I think

8 0

3 years ago

Read 2 more answers

For brainiest:):):):):):):):)

Novosadov [1.4K]

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3 years ago

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Sam wants to find the best buy on cans of tuna. He reads these four ads in the newspaper.$12.53 for seven cans$5.97 for three ca

grandymaker [24]

In each case divide the price by the number of cans.
The best buy is the lowest price.
$12.53/7 = $1.79
$5.97/3 = $1.99
$7.95/5 = $1.59
$8.34/6 = $1.39

The fourth ad, $8.34 for 6 cans results in the lowest price per can, $1.39.
The fourth ad is the best buy.

8 0

3 years ago

Is 4.78778777... a rational or irrational​ number?

Is 4.78778777... a rational or irrational number?