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Brums [2.3K]
3 years ago
7

Solve the trigonometric equation √2 cos − 1 2 cos + 1 = 0 in the interval [0, 360°). find the exact values of the solutions in d

egrees
Mathematics
2 answers:
azamat3 years ago
8 0
First, you would combine all the like terms- cos(x)(√2 - 12)= -1 
Then you would Isolate x: cos(x) equals -1/(√2 - 12) 
cos(x) equals 0.0944 
x equals cos⁻¹(0.0944) 
x equals 84.57 degrees aka (360-x=275.42 degrees) 
Hope I got this right :/
Elena-2011 [213]3 years ago
7 0
Assuming cos means cos(x); 

Combine all like terms: cos(x)(√2 - 12)= -1 
Isolate x: cos(x)= -1/(√2 - 12) 

cos(x)=0.0944 
x=cos⁻¹(0.0944) 
x= 84.57 degrees or (360-x=275.42 degrees) 

Hope I helped :) 
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Si el lado de un cuadrado mide 10cm cuanto mide él área del círculo que se encuentra adentro de ese cuadrado
Alex17521 [72]

Answer:

El área del círculo que se encuentra en el cuadrado es de 78.5cm²

Step-by-step explanation:

Para resolver este ejercicio tenemos que pensar que un cuadrado tiene sus 4 lados iguales, por lo que todos sus lados medirán 10cm.

Ahora nos fijamos que necesitamos saber para calcular el área de un circulo

a = área

r = radio

π = 3.14

a = π * r²

como podemos ver no sabemos el valor del radio

como el circulo toca con los 4 lados del cuadrado sabemos que su radio sera la distancia del centro del cuadrado a cualquiera de los lados.

Entonces tenemos que dividir un lado por 2

10cm/2 = 5cm

El radio del circulo sera 5cm

Ahora que tenemos todos los datos podemos calcular el valor del área

a = 3.14 * (5cm)²

a = 3.14 * 25cm²

a = 78.5cm²

El área del círculo que se encuentra en el cuadrado es de 78.5cm²

8 0
3 years ago
Need answers 1-8 equations and problems solving
djyliett [7]

1) a. x = number of cars

b. x - 12

2) a. x = number of packages

b. 16 + 1/2x

3) a. x = number of coins

b. 1/2x - 6

4) 17 + x = 78

Subtract 17 from each side.

x = 61

5) x - 33 = 78

Add 33 to each side.

x = 111

6) x * 84 = 327.6

Divide each side by 84

x = 3.9

7) 1333/8.6 = 155

The speed was 155mph.

8) 2475/110 = 22.5

The trip took 22 and a half hours. (Or "The trip took 22.5 hours."

3 0
3 years ago
Can someone please help
Masja [62]

Answer:

3 or c

Step-by-step explanation:

5 0
3 years ago
*Find the formula of the series 1+2²+3²+4²+....+n²*<br>​
Sophie [7]

The formula is \frac{n(n+1)(2n+1)}{6}

What are series?

In mathematics, we can describe a series as adding infinitely many numbers or quantities to a given starting number or amount.

We will find the formula as shown as below:

Let S=1+2^2+3^2+4^2+................+n^2

We know (n+1)^3=n^3+3n^2+3n+1

(1+1)^3=1^3+3(1)^2+3(1)+1

(2+1)^3=2^3+3(2)^2+3(2)+1

(3+1)^3=3^3+3(3)^2+3(3)+1

.

.

(n+1)^3=n^3+3(n)^2+3(n)+1

On adding

2^3+3^3+4^3......(n+1)^3=(1^3+2^3+3^3+.....+n^3)+3(1^2+2^2+.....+n^2)+3(1+2+3....n)+(1+1+1+....+1)

2^3+3^3+4^3......(n+1)^3-(1^3+2^3+3^3+.....+n^3)=3S+\frac{3n(n+1)}{2}+(1+1+1+....+1)

(n+1)^3-1^3=3S+\frac{3n(n+1)}{2} +n

n^3+3(n)^2+3(n)+1-1=3S+\frac{3n(n+1)}{2} +n

2n^3+6n^2+6n=6S+3n^2+3n+2n

6S=2n^3+3n^2+n

6S=2n^2(n+1)+n(n+1)

6S=(n+1)(2n^2+n)

6S=n(n+1)(2n+1)

S=\frac{n(n+1)(2n+1)}{6}

Hence, the formula is \frac{n(n+1)(2n+1)}{6}

Learn more about Series here:

brainly.com/question/24643676

#SPJ1

3 0
2 years ago
use the domain {-4, -2, 0, 2, 4} the codomain [-4, -2, 0, 2, 4} and the range {0, 2, 4} to create a function that is niether one
lesya [120]

Answer:

See attachment

Step-by-step explanation:

We want to create a function that is neither one-to-one or on to given that:

The domain is {-4, -2, 0, 2, 4}

The codomain is [-4, -2, 0, 2, 4}

The range is  {0, 2, 4}

The function in the attachment is an example of such function.

The function is not one-to-one because there are different different x-value in the domain that has the same y-value in the co-domain.

It is not an on to function because the range is not equal to the co-domain.

7 0
3 years ago
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