What is 1-cos(6x)=__

What is the length of the side of a regular octagon if a diagonal is 20 meters long?

Margarita [4]

Answer:

10

Step-by-step explanation:

3 0

3 years ago

How do you get x trigonometry

Svetlanka [38]

Quick vocab:
sin=sine
cos=cosine
tan=tangent
theta=the angle
o=opposite side from angle
h=hypotenuse of triangle
a=adjacent side to angle

Three equations:
sin(theta)= o / h
cos(theta)= a / h
tan(theta)= o / a

Explanation of problem:

sin(x)= o / h
sin(x)= 16cm / 28cm
You'll substitute the 16cm in for o and 28cm for h
This is because 16cm is on the side that's opposite from the angle
28cm is on the hypotenuse of the triangle
One way to find the hypotenuse is look where the 90° is at and it's opposite from that

since you're trying to find the angle you'll have to inverse the sin to get it on the other side of the equal sign
Inverse is doing the opposite of so the inverse of sin is sin^-1

${ \sin}^{ - 1} (\frac{16cm}{28cm})$
x = sin^-1 (16cm/28cm)

Answer:

x = 34.84990458°

I don't know how far rounded you'll need it
I hope this helped!

7 0

3 years ago

Consider the quadratic function f(x)=x²-5x+12. Which statements are true about the function and its

finlep [7]

There is only one statement that is true: B. The graph of the function is a parabola.

<h3>How to study and interpret the characteristics of quadratic equations</h3>

In this question we have a quadratic equation, whose characteristics have to be inferred and analyzed. We need to prove each of the five choices presented in the statement:

Choice A:

If we know that x = - 10, then we evaluated it at the function:

f(- 10) = (- 10)² - 5 · (- 10) + 12

f(- 10) = 162

False

Choice B:

By analytical geometry we know that all functions of the form y = a · x² + b · x + c always represent parabolae.

True

Choice C:

The quadratic function opens up as its leading coefficient is greater that 0.

False

Choice D:

If we know that x = 20, then we evaluate it at the function:

f(20) = 20² - 5 · (20) + 12

f(20) = 312

False

Choice E:

If we know that x = 0, then we evaluate it at the function:

f(0) = 0² - 5 · (0) + 12

f(0) = 12

There is only one statement that is true: B. The graph of the function is a parabola.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

7 0

1 year ago

PLEASE ANSWER FAST THIS IS DUE IN 10 MINUTES

Elena-2011 [213]

The expressions that are equal to 61 are

|−61|
The distance from zero to −61
−(−61)
The opposite of −61

<h3>How to determine the expressions?</h3>

The value of the expression is given as:

Value = 61

Next, we evaluate the options:

Option 1: |−61|

The expression is given as:

Expression = |-61|

Remove the absolute sign

Expression = 61

Hence, |-61| equals 61

Option 2: The distance from zero to −61

This is represented as:

Distance = |-61 - 0|

Evaluate the difference

Distance = |-61|

Remove the absolute sign

Distance = 61

Hence, the distance from zero to −61 is 61

Option 3: The opposite of 61

The opposite of 61 is represented as:

Opposite = -(61)

Evaluate

Opposite = -61

Hence, the opposite of 61 is -61

Option 4:−(−61)

The expression is given as:

Expression = -(-61)

Remove the bracket

Expression = 61

Hence, -(-61) equals 61

Option 5: the opposite of −61

The opposite of -61 is represented as:

Opposite = -(-61)

Evaluate

Opposite = 61

Hence, the opposite of -61 is 61

Option 6: −|−61|

The expression is given as:

Expression = -|-61|

Remove the absolute sign

Expression = -61

Hence, -|-61| equals -61

Option 6: −|61|

The expression is given as:

Expression = -|61|

Remove the absolute sign

Expression = -61

Hence, -|61| equals -61

What is 1-cos(6x)=___