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QveST [7]
2 years ago
14

2 sin^2 + sin x - 3 = 0

Mathematics
1 answer:
denpristay [2]2 years ago
3 0

Answer:

x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

Step-by-step explanation:

Solve for x:

-3 + sin(x) + 2 sin^2(x) = 0

The left hand side factors into a product with two terms:

(sin(x) - 1) (2 sin(x) + 3) = 0

Split into two equations:

sin(x) - 1 = 0 or 2 sin(x) + 3 = 0

Add 1 to both sides:

sin(x) = 1 or 2 sin(x) + 3 = 0

Take the inverse sine of both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) + 3 = 0

Subtract 3 from both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) = -3

Divide both sides by 2:

x = 2 π n_1 + π/2 for n_1 element Z

or sin(x) = -3/2

Take the inverse sine of both sides:

Answer:  x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

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Jason spent half of his allowance going to the movies. He washed the family car and earned seven dollars. What is his weekly all
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13-7=6
6 times 2 =12
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2 years ago
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There are square tiles arranged in a pattern. the pattern has rows that are 5 tiles wide and an unknown number of rows. if you t
KonstantinChe [14]

An equation is formed of two equal expressions. The number of rows in the original pattern will be 4.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of rows be represented by x. Now, the pattern has rows that are 5 tiles wide and an unknown number of rows. if you take these tiles and add one additional tile, you can create a pattern that has rows that are 3 tiles wide, with 3 more total rows than the original pattern. Therefore, we can write,

(Number of Tiles before) + 1 tile = (Number of Tiles afterward)

5x + 1 = 3(x+3)

5x + 1 = 3x + 9

5x - 3x = 9 - 1

2x = 8

x = 4

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brainly.com/question/2263981

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5 0
1 year ago
The cartesian equation, y = 4, is equivalent to the polar equation, _____.
jolli1 [7]
This is how you would solve the question.
4 0
3 years ago
There..?
QveST [7]

The answer should be:

Domain: All real

numbers

greater than or

equal to 0 and

less than or

equal to 100

Range: all real

numbers

greater than or

equal to 0 and

less than or

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3 0
3 years ago
The number of boys in a school is 120% the number of girls at the school. Find the number
KiRa [710]

Answer:

66 girls

Step-by-step explanation:

Givens:

●120% boys of girls

▪︎1.2 × g

☆when g is the number of girls

●80 boys

▪︎meaning you can set up a proportion

Solving:

g × 1.2 = 80

g=80/1.2

g=66.66

So, since you can't go over percent, the answer is 66.

Checking:

g × 1.2 = 80

66 × 1.2 = 80

80=80✅

6 0
3 years ago
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