All categories

2 years ago

For a particular angle Θ, the cosine function f(x) = a cos b(Θ) has the following values within one cycle of the function:

Mathematics

1 answer:

expeople1 [14]2 years ago

7 0

If f(θ) = a cos(bθ), then from the first condition we find

f(0) = 3 ⇒ a cos(0) = 3 ⇒ a = 3

Together with the other conditions, it's evident that f(θ) has a period of π, so

2π/b = π ⇒ b = 2

so that

f(θ) = 3 cos(2θ)

You might be interested in

Can you help me please??

dusya [7]

Answer:

y = $\frac{4}{5}x+\frac{54}{5}$

Step-by-step explanation:

Equation of a line has been given as,

$y=\frac{4}{5}x+\frac{3}{5}$

Here, slope of the line = $\frac{4}{5}$

y-intercept = $\frac{3}{5}$

"If the two lines are parallel, there slopes will be equal"

By this property slope of the parallel line to the given line will be equal.

Therefore, slope 'm' = $\frac{4}{5}$

Since, slope intercept form of a line is,

y = mx + b

Therefore, equation of the parallel line will be,

y = $\frac{4}{5}x+b$

Since, this line passes through a point (-6, 6),

6 = $\frac{4}{5}(-6)+b$

6 = $-\frac{24}{5}+b$

b = $6+\frac{24}{5}$

b = $\frac{30+24}{5}$

b = $\frac{54}{5}$

Equation of the parallel line will be,

y = $\frac{4}{5}x+\frac{54}{5}$

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=x%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B3%7D%20%20%3D%201%20%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%20" id

Ulleksa [173]

The answer : x= one half

6 0

3 years ago

Anthony will be competing in a body building competition in 12 months. He initially weighs 160 pounds and by the end of 12 month

aksik [14]

A) 6 pounds per month

3 0

3 years ago

Read 2 more answers

Can someone help me with 1-142 all the way to 1-144??

mezya [45]

CL.1.142):

A):

x5 ==> 4 boxes = 3ft <==== x5

20 boxes = ? ft

20 boxes is 15 ft. high

B): x3 ===> 4 boxes = 3ft. <==== x3

? boxes = 9ft.

12 boxes will fit in one stack.

c): CL.143

Perimeter = 15 + 29 + 9 + 11 + 6 + 18 =====> 88m

A1 = b * h

(18)(15)

270m^2

A2 = b * h

(11)(9)

Total Area ======> 270 + 99 ======> 369m^2

CL.1-144

1/4 + 1/4 + 1/5 = 5/20 + 5/20 + 4/20 ====> 14/20

1/4 * 5/5 =====> 5/20

1/5 * 4/4 =====> 4/20

14/20 + ?/20 = 20/20

? = 6 Missing Section

6/20 ======> 3/10

CL-1.145

A): 40/100 = 4/10 ====> 2/5

0.4 ========> 40%

B): 1/6 ======> .00000

0.16 (Repeating 6) ======> 16.6%

C): 37.5/100 = 375/1000 =======> 3/8

0.375 =========> 37.5%

CL-1.146

ADD: 1/6 + 1/2 show all steps:

1/6 + 1/2

1/6 + 3/6

1 + 3 / 6

4/6 =======> 2/3 =======> Decimal: =======> 0.666667

Hope that helps!!!! : )

5 0

3 years ago

This true or false????????? ill give brainliest if right

stiv31 [10]

Answer:

This is false.

Step-by-step explanation:

Hope this helps!!

3 0

3 years ago

Read 2 more answers