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Find the exact value of sin (pi/3 + pi)

Answers

Answer 1

Answer:

The exact value of sin (π/3 + π) is: sin (4π/3) = -√3/2.

Here, we have,

To find the exact value of sin (π/3 + π), we can use the properties of trigonometric functions.

First, let's simplify the angle π/3 + π:

π/3 + π = (π + 3π)/3 = 4π/3

Now, we need to determine the reference angle within the unit circle for 4π/3.

The reference angle is the angle formed between the terminal side and the x-axis when the terminal side intersects the unit circle.

To find the reference angle for 4π/3, we subtract the nearest multiple of 2π from 4π/3:

4π/3 - 2π = (12π/3 - 6π)/3 = 6π/3 = 2π

Therefore, the reference angle for 4π/3 is 2π.

Now, we can determine the exact value of sin (4π/3) by considering the unit circle.

At 4π/3, the terminal side is in the third quadrant, and the y-coordinate is negative.

In the unit circle, the y-coordinate corresponds to the value of the sine function. Since the y-coordinate is negative, the exact value of sin (4π/3) is -√3/2.

Hence, sin (π/3 + π) = sin (4π/3) = -√3/2.

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Answer 2

Answer:

Answer:umm I think to do that you need to สะเดมแคพสพว เุ่ะมำงกรด พรพเ่พยวพ

Step-by-step explanation:ระะทืะยะะืะนะทะ ถระทพนดทเรทเสเยเสเรเาดยเสะมะนเสเร้าเสพ

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Hello I am needing help on this word problem please. I think it's 30 but I'm questioning myself

Answers

Solution:

Since 5 pounds of meat will feed about 26 people.

Thus;

$\begin{gathered} (5)/(26)lb\text{ would feed 1 person} \n \n =0.1923 \end{gathered}$

If she is expecting 156 people, she should prepare;

$\begin{gathered} (0.1923*156)lb\text{ of meat} \n \n \approx30lb \end{gathered}$

ANSWER: 30lb

A fisherman uses a spring scale to weigh a tilapia fish. He records the fish weight as a kilograms and notices that the spring stretches b centimeters. Which expression represents the spring constant (1 =9.8 )? A). 980ab B). 9.8ab C). 9.8ab D). 980ab

Answers

Answer:

k = $(980a)/(b)$

Step-by-step explanation:

Fisherman noticed a stretch in the spring = 'b' centimetres

Weight of the fish = a kilograms

If force applied on a spring scale makes a stretch in the spring then Hook's law for the force applied is,

F = kΔx

Where k = spring constant

Δx = stretch in the spring

F = weight applied

F = mg

Here 'm' = mass of the fish

g = gravitational constant

F = a(9.8)

= 9.8a

Δx = b centimetres = 0.01b meters

Therefore, 9.8a = k(0.01b)

k = $(9.8a)/(0.01b)$

k = $(980a)/(b)$

Therefore, spring constant of the spring will be determined by the expression, k = $(980a)/(b)$

A relation includes the coordinate (3,3). What other coordinate must be included in the relation if it is even?

Answers

let's not forget that when a relation is "even" f(-x) = f(x), or namely any negative of "x" yields the same result as any positive one.

if this relation is "even" and has (3 , 3), where x = 3, then if we were to plug f(-3) we should get a result or y-value of the same 3, giving us a point of (-3 , 3).

Find the lcm of 2,3,7 and tell me how u got ur answerif its CORRECT with ur reasoning ill give brainlest

Answers

Answer:

Step-by-step explanation:

Which statement is true regarding the graphed functions?f(0) = 2 and g(–2) = 0
f(0) = 4 and g(–2) = 4
f(2) = 0 and g(–2) = 0
f(–2) = 0 and g(–2) = 0

Answers

let's analyze each case to determine the solution

case 1) f(0) = 2 and g(–2) = 0

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 1) is false

case 2) f(0) = 4 and g(–2) = 4

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 2) is false

case 3) f(2) = 0 and g(–2) = 0

For x=2-----> find the value of f(2) in the graph-----> f(2)=0

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 3) is true

case 4) f(–2) = 0 and g(–2) = 0

For x=-2-----> find the value of f(-2) in the graph-----> f(-2) is greater than 12

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 4) is false

therefore

the answer is

f(2) = 0 and g(–2) = 0-------> this statement is true

The correct option is $\boxed{\left(c\right)f\left(2\right)=0{\text{ and }}g\left({-2}\right)=0}$ .

Further explanation:

Consider a function $f\left(x\right)$ as $y$ .

$\boxed{f\left(x\right)=y}$ ...... (1)

Consider the function $g\left(x\right)$ as $z$ .

$\boxed{g\left(x\right)=z}$ ...... (2)

Substitute 0 for $x$ in equation (1) to obtain the value of $f\left(0\right)$ and also the value of $f\left(0\right)$ can be obtained from the graph by finding the value of $y$ at $x=0$ .

$\boxed{f\left(0\right)=4}$

Substitute 2 for $x$ in equation (1) to obtain the value of $f\left(2\right)$ and also the value of $f(2)$ can be obtained from the graph by finding the value of $y$ at $x=2$ .

$\boxed{f\left(2\right)=0}$

Substitute $-2$ for $x$ in equation (2) to obtain the value of $g(-2)$ and also, the value of $g(-2)$ can be obtained from the graph by finding the value of $z$ at $x=-2$ .

$\boxed{g\left({-2}\right)=0}$

Now check the option that is satisfied by the obtained value.

In the option (a) the value of $f(0)$ is 2 which is not equal to the obtained value so this option is not correct.

In the option (b) the value of $f(0)$ is 4 which is not equal to the obtained value so this option is not correct.

In the option (c) the value of $f(2)$ is 0 which is equal to the obtained value and the value of $g(-2)$ is 0 which is also equal to the obtained value so this option is correct.

In the option (d), the value of $f(-2)$ is 0 but from the graph it can be observed that the value of $f(-2)$ is greater than 12, so this option is not correct.

Learn more:

1. Problem on Function brainly.com/question/1691598

2. How to solve Function brainly.com/question/1632445

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Function

Keywords:

Graphed function, f(0), f(2),g(0), f(x), g(x), intercept, intersection, axis, vertical, horizontal, lines, parabola function.

99% confidence interval for the population standard deviation

Answers

99% = 2.58

how to find ?

Divide your confidence level by 2: . 95/2 = 0.475. Step 2: Look up the value you calculated in Step 1 in the z-table and find the corresponding z-value. The z-value that has an area of .

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