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mestny [16]
3 years ago
10

What are the values of cos α and tan α, if: sinα= 40/41

Mathematics
1 answer:
Irina18 [472]3 years ago
7 0

Answer:

The answer to your question is:

cos α = 9/ 41

tan α = 40/9

Step-by-step explanation:

Data

cos α = ?

tan α = ?

sin α = 40/41

Process

sin Ф  = opposite side / hypotenuse

then, if sin α = 40/41,

opposite side = 40

hypotenuse = 41

Pythagorean theorem

                                       c² = a² + b²

                                      41² = 40² + b²

                                      b² = 41² - 40²

                                      b² = 1681 - 1600

                                      b² = 81

                                      b = 9

adjacent side = 9

Now,

cosine Ф = adjacent side / hypotenuse

cos α = 9/ 41

tangent Ф = opposite side / adjacent side

tan α = 40/9

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alexgriva [62]

Answer:

x = 19, y = -5

Step-by-step explanation:

x + y = 14  => x= 14-y

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14 + y = 9  => y = -5

x + (-5) = 14  => x=19

5 0
2 years ago
Add or substract the linear expression.
STatiana [176]

Answer:

-7x - 6

Step-by-step explanation:

1

Distribute

(−2+5)−1(6+4)+(−7)

(−2+5)−6−4+(−7)

2

Eliminate redundant parentheses

(−2+5)−6−4+(−7)

−2+5−6−4+−7

3

Add the numbers

−2+5−6−4+−7

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Combine like terms

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Answer:

−7−6

4 0
3 years ago
Complete the square to solve 4x2 + 24x = 4.
igomit [66]

Answer:

x = - 3 ± \sqrt{10}

Step-by-step explanation:

Given

4x² + 24x = 4 ( divide through by 4 )

x² + 6x = 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 1 + 9

(x + 3)² = 10 ( take the square root of both sides )

x + 3 = ± \sqrt{10} ( subtract 3 from both sides )

x = - 3 ± \sqrt{10}

8 0
3 years ago
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Answer:

4

Step-by-step explanation:

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5 0
2 years ago
Need answer quick. No need for big explanantion
Leona [35]

Answer:

Step-by-step explanation:

4.30/40=$0.1075

Hope this helps :)

5 0
3 years ago
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