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Rufina [12.5K]
2 years ago
6

Given: Cosine (x minus y)

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
6 0

The required steps that complete the proof are:

Step 1: Cofunction Identity

Step 5: Sine Difference Identity

Step 6: Cofunction Identity

Step 7: Cosine Function Is Even, Sine Function Is Odd

<h3>Trigonometry identity</h3>

Given the cosine function expressed as:

  • cos(x - y)

The first step is to apply the cofunction identity as shown:

  • Step 1: Cofunction Identity

cos(90 - x) = sin x

cos(x - y) = sin (90-(x-y))

  • Step 5: Sine Difference Identity

For the fifth step, you will apply the sine difference identity.

  • Step 6: Cofunction Identity

To get the sixth step, you will apply the Cofunction Identity on the result in the fifth step.

The final step 7 will be

  • Step 7: Cosine Function Is Even, Sine Function Is Odd

Learn more on trigonometry identity here: brainly.com/question/24496175

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Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina com 1mx0,8m. Sabendo que ele recortou 2 triângulos, a
Gnom [1K]

Answer:

7190 cm²

Step-by-step explanation:

Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina de 1 m x 0,8m.

Passo 1

Determine a área de todo o papelão

= Temos dimensões = 1mx0,8m

Área = Comprimento × Largura

= 0,8m²

Nós convertemos para cm²

1 m² = 10.000 cm²

0,8m² = x cm²

Multiplicação cruzada

0,8m² × 10.000 cm² / 1 m²

= 8000 cm²

Passo 2

Sabendo que recortou 2 triângulos, ambos com 20cm de base e 30cm de altura

Encontramos a área de um triângulo

= 1/2 × base × altura

= 1/2 × 20 × 30

= 300cm²

Ele cortou 2 triângulos Portanto, o são dos dois triângulos = 300cm² × 2

= 600cm²

etapa 3

Ele também cortou 2 trapézios ambos com bases de 10cm e 20cm e altura de 7cm.

A área de um trapézio =

1/2 (a + b) h

= 1/2 (10cm + 20cm) × 7cm

= 1/2 × 30 × 7

= 105 cm²

Ele cortou dois trapézios, portanto

A área dos dois trapézios do corte = 105cm² × 2

= 210 cm²

Passo 4

A área total do papelão que foi cortado = 600cm² + 210cm²

= 810 cm²

Etapa 5

Determine em cm² quanto de papelão sobrou.

Isso é calculado como:

Área total do papelão - Área total que foi cortada

= 8000 cm² - 810 cm²

= 7190 cm²

5 0
3 years ago
In 2000, the population of Massachusetts
Zepler [3.9K]

Answer:

The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

f(x) = 6.3*(1.0032)^{x}

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

f(x) = 6.3*(1.0032)^{x}

7 = 6.3*(1.0032)^{x}

(1.0032)^{x} = \frac{7}{6.3}

(1.0032)^{x} = 1.11

We have to following logarithm rule

\log{a^{x}} = x\log{a}

So we apply log to both sides of the equality

\log{(1.0032)^{x}} = \log{1.11}

x\log{1.0032} = \log{1.11}

x = \frac{\log{1.11}}{\log{1.0032}}

x = 32.66

2000 + 32.66 = 2032

The population reaches 7 million people in the year 2032.

3 0
3 years ago
a pack of eight batterys cost 8.99. Bow much does each battery cost , give your answer to the nearest penny​
Ne4ueva [31]

Answer: $1.13

Step-by-step explanation:

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3 years ago
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The sum of a number and 4
VLD [36.1K]

Let n be the number.

n + 4

4 0
3 years ago
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Find each of the following products of conjugate pairs.See if you can work out a pattern
yKpoI14uk [10]

Answer: is 0

Step-by-step explanation:

4 0
3 years ago
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