All categories

2 years ago

Which numbers complete the blanks when solving the equation cos(x+2π) = - √2/2 over the interval [0,2π]

Mathematics

1 answer:

Fudgin [204]2 years ago

6 0

Answer:

x = 3π/4, 5π/4

Step-by-step explanation:

cos(x+2π) = -√2/2, [0,2π]

cos(x)cos(2π)-sin(x)sin(2π) = -√2/2

cos(x) = -√2/2

x = 3π/4, 5π/4

Remember that the cosine function is periodic, so cos(θ+2π)=cos(θ).

You might be interested in

Find the solutions of the quadratic equation 14x^2+9x+10=014x

Vesnalui [34]

Answer:

Option B. $x=-\frac{9}{28}(+/-)\frac{\sqrt{479}}{28}i$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$14x^{2}+9x+10=0$

$a=14\\b=9\\c=10$

substitute in the formula

$x=\frac{-9(+/-)\sqrt{9^{2}-4(14)(10)}} {2(14)}$

$x=\frac{-9(+/-)\sqrt{-479}} {28}$

Remember that

$i=\sqrt{-1}$

substitute

$x=\frac{-9(+/-)\sqrt{479}i} {28}$

$x=-\frac{9}{28}(+/-)\frac{\sqrt{479}}{28}i$

5 0

3 years ago

The three sides of a triangle are n, 3n + 5, and 4n − 9. If the perimeter of the triangle is 68 feet, what is the length of each

MissTica

4n - 9 + 3n + 5 + n = 68

combine like terms

8n - 4 = 68

addition property of equations

8n = 72

division property of equality

n = 9

SIDES:

n = 9

3n + 5 = 32

[ 3(9) + 5 = 32 ]

4n - 9 = 27

[ 4(9) - 9 = 27 ]

5 0

3 years ago

help me please. I'll give brainly, thank u >>>>>>>>>>>>>>>>>>>>>&

Arada [10]

Answer:

Step-by-step explanation:

the solution to the system is at the point of intersection of the linear equations.

the lines intersect at (- 4, 3 )

then solution is (- 4, 3 )

6 0

2 years ago

Given the domain values {-3, 0, 3} what is the range for the equation f(x) = −5x + 2? Question options: {-3, 0, 3} {-6, 2, 6} {-

Fynjy0 [20]

The range is the set of all possible output, as you feed the function with all possible inputs. Since our inputs (domain) are -3, 0, 3, our outputs are

$f(-3) = 15+2 = 17\\f(0)=0+2 = 2\\f(3) = -15+2 = -13$