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Mashcka [7]
3 years ago
13

What are all the exact solutions of -3tan^2x+1=0? Give your answers in radians.

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

Answer:

x = π n_1 + π/6 for n_1 element Z

or x = π n_2 - π/6 for n_2 element Z

Step-by-step explanation:

Solve for x:

1 - 3 tan^2(x) = 0

Subtract 1 from both sides:

-3 tan^2(x) = -1

Divide both sides by -3:

tan^2(x) = 1/3

Take the square root of both sides:

tan(x) = 1/sqrt(3) or tan(x) = -1/sqrt(3)

Take the inverse tangent of both sides:

x = π n_1 + π/6 for n_1 element Z

or tan(x) = -1/sqrt(3)

Take the inverse tangent of both sides:

Answer:  x = π n_1 + π/6 for n_1 element Z

or x = π n_2 - π/6 for n_2 element Z

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Is this thesis OK for my schizophrenia essay? Schizophrenia is a severe mental illness that deeply affects the patient's daily l
sattari [20]
I don't know how many paragraphs your professor needs you to develop, but if your essay consists on just 3 paragraphs (introduction, body and conclusion) your thesis is OK.
Now, if your essay needs to have, lets say 4 or 5 paragraphs (introduction, body 1, body 2, body 3, and conclusion) I'd recommend you to add two more details to your essay. For example,

Schizophrenia is a severe mental illness that deeply affects not only the patient's daily life, but also his family and friends.

paragraph 1 is to develop how schizophrenia affects the patient daily life only. Paragraph 2 is to develop how schizophrenia affects the patient's family and paragraph 3 to develop how it affects his or her family.

Don't forget to put examples, professors love when you put examples.
Good luck, and if you need help, you can ask me.
3 0
3 years ago
A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct
KatRina [158]
<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

          Perimeter=2(L+\sqrt{100-L^2})

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

10=\sqrt{L^2+W^2}

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

W=\sqrt{100-L^2}

Now, we know that the Perimeter of a rectangle is given by:

Perimeter=2(L+W)

Here we have:

Perimeter=2(L+\sqrt{100-L^2})

7 0
3 years ago
Plot the vertices (–2, –8), (–2, 2), and (8, 2). What is the last vertex of the rectangle? What is the area of the rectangle? sq
Wewaii [24]

Answer:

the last vertex is (8,-8)

the area of the rectangle is 100 square units

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Evaluate the expression when a=10,b=9, and c=4.<br> 3a+2b−6c =
pav-90 [236]

Answer:24

Step-by-step explanation:

Multiply 3 times ten, 2 times 9, and 6 times 4 and solve you get 24

6 0
3 years ago
Pls someone help me find the answers
Alecsey [184]

Answer:

x = 145°

Step-by-step explanation:

We know that y = 98°, so we can find ∠DBC:

180°-y = ∠DBC

180°-98° = 82°

We also know that z = 63°, therefore we can apply <u>exterior angle of triangles</u> to find x.

∠DBC + z = x

82°+63° = x

x = 145°

7 0
3 years ago
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