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Snezhnost [94]
3 years ago
6

Teniendo en cuenta que tg 45°=1, deduce el valor de sen 45° y de cos 45° mediante las relaciones fundamentales.

Mathematics
1 answer:
Nana76 [90]3 years ago
6 0

Answer:

the value is 0.707

Step-by-step explanation:

The computation is shown below:

Tan (x) = sen (x) ÷ cos (x)

Tan 45° = sen 45° ÷ cos 45° = 1

Now

Sen^2 (x) + cos^2 (x) = 1

Sen^2 (x) + sin^2 (x) = 1 (As sen (x) = u)

2u^2 = 1

u = √1 ÷ √2

= √2 ÷ 2

= 0.707

Hence, the value is 0.707

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alexira [117]

Answer:

x = 2, 1 + 3i, 1 − 3i

Step-by-step explanation:

Find the Roots (Zeros)

x^4 − 6x^3 + 22x^2 − 48x + 40

Set x^4 − 6x^3 + 22x^2 − 48x + 40 equal to 0. x^4 − 6x^3 + 22x^2 − 48x + 40 = 0

Solve for x.

Factor the left side of the equation.

Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.

(x − 2) (x^3 − 4x^2 + 14x − 20) = 0

 Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.

(x − 2) (x − 2) (x2 − 2x + 10) = 0

 Combine like factors.

(x − 2)2 (x^2 − 2x + 10) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

(x − 2)^2 = 0

x^2 − 2x + 10 = 0

 Set (x − 2)^2 equal to 0 and solve for x.

Set (x − 2)^2 equal to 0.

 (x − 2)^2 = 0

Solve (x − 2)^2 = 0 for x.

x = 2

 Set x^2 − 2x + 10 equal to 0 and solve for x.

Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0

Solve x^2 − 2x + 10 = 0 for x.

Use the quadratic formula to find the solutions.

−b ± (√b^2 − 4 (ac) )/2a

Substitute the values a = 1, b = −2, and c = 10 into the quadratic formula and solve for x.

2 ± (√(−2)^2 − 4 ⋅ (1 ⋅ 10))/2 ⋅ 1

Simplify.

Simplify the numerator.

  x =    2 ± 6i/ 2.1

Multiply 2 by 1

 x =  2 ± 6i/2⋅1

 Simplify

  2 ± 6i/2  

   x = 1 ± 3i

The final answer is the combination of both solutions.

x = 1 + 3i, 1 − 3i

The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.

x = 2, 1 + 3i, 1 − 3i

3 0
3 years ago
What is the value of x?
Hitman42 [59]
The correct answer is √313. ( square root of 313 or 17.7)
Hope this helps.
7 0
3 years ago
Please answer and show work.
andrew11 [14]
Simplifying
9 + -2x = 35

Solving
9 + -2x = 35

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -2x = 35 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 35 + -9
-2x = 35 + -9

Combine like terms: 35 + -9 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13
4 0
3 years ago
What is the y-intercept of the function y= -1/2cos(3/2x)
Flauer [41]

Answer: (0,-1/2)

Step-by-step explanation:

Edge :-)

5 0
3 years ago
Find f(-3) if f(x) = x 2.
vlabodo [156]

Answer:

f(-3) = 9

Step-by-step explanation:

Lets define f(a) first where a is any integer,

f(a) is found out by putting the integer in the function in place of the variable

So for the given question

f(x) = x^{2}

In order to find f(-3) we will put -3 in place of x

So putting -3,

f(-3) = (-3)^{2}

f(-3) = 9

So, the value of function at -3 is 9 ..

5 0
3 years ago
Read 2 more answers
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