All categories

2 years ago

Explain why the function y=1-cosx is an even function

Mathematics

1 answer:

Oksanka [162]2 years ago

8 0

A function is said to even if it returns the same output when given two opposite inputs:

$f(x) = f(-x)$

In your case, you have

$f(x) = 1-\cos(x), \quad f(-x) = 1-\cos(-x)$

And since $\cos(x) = \cos(-x)$ , the proof is concluded.

You might be interested in

Type the correct answer in the box.

statuscvo [17]

Step-by-step explanation:

V should be written as (1/3) pi r^2 h

V = (1/3) pi r^2 h multiply by 3

3V = pi r^2 h Divide by pi

3V/ pi = r^2 h Divide by r^2

3V / (pi *r^2 ) = h

4 0

3 years ago

I need help fast pleasee

trapecia [35]

Answer:

y = - cos ( $\frac{3}{4}$ x + $\frac{\pi }{4}$ )

Step-by-step explanation:

y = A cos ( Bx + C) + D

Vertical shift D = 0

A = - 1

Compression / Stretching B

Period of given function is $\frac{8\pi }{3}$

Period of cos x is 2π

$\frac{8\pi }{3}$ = $\frac{2\pi }{B}$ ⇒ B = $\frac{3}{4}$

Horizontal shift is C ÷ B

Horizontal shift of given function is $\frac{\pi }{3}$

$\frac{\pi }{3}$ = C ÷ $\frac{3}{4}$ ⇒ C = $\frac{\pi }{4}$

So, the equation of given function is

y = - cos (  $\frac{3}{4}$  x +  $\frac{\pi }{4}$  ) 

4 0

2 years ago

What does AE equal to ?

sasho [114]

Answer:

i think its 70

Step-by-step explanation:

35+35=70

because line ## is same as ## and ##

3 0

3 years ago

I need help with this please

enyata [817]

Answer:¿Qué es lo contrario de estos estadistas?

Step-by-step explanation:

What is the opposite of these statesment

5 0

2 years ago

Original:45 new:30 percent of change

Sveta_85 [38]

Answer:

Explanation:

30-45 = -15

percent of change = 100(-15/45) = -33.33%

6 0

2 years ago