What is the rectangular form of the polar equation?

θ=−7π/6

Answers

Answer 1

Answer:

The rectangular form of the polar equation $\theta=(-7\pi )/(6)$ is:

$x = r * (\sqrt3)/(2)\ny = r * (-1)/(2)$

Mathematical formulations known as polar equations show the connections between locations in a polar coordinate system. In a polar coordinate system, a point's distance from the origin serves as its definition.

To convert a polar equation into a rectangular form, we can use the following formulas:

$x = r * cos(\theta)\ny = r * sin(\theta)$

In this case, the polar equation is $\theta=(-7\pi )/(6)$ .

Using the conversion formulas, we can substitute the value of θ into these equations:

$x = r * cos\left((-7\pi)/(6)\right)\ny = r * sin\left((-7\pi)/(6)\right)$

Evaluate the trigonometric functions $cos\left((-7\pi)/(6)\right)\n$ and $sin\left((-7\pi)/(6)\right)$ .

$cos\left((-7\pi)/(6)\right) = cos\left(\frac {\pi}{6}\right) = (\sqrt3)/(2)$

$sin\left((-7\pi)/(6)\right) = -sin\left( (\pi)/(6)\right)\n=( -1)/(2)$

Substituting these values back into the equations:

$x = r * (\sqrt3)/(2)\ny = r * (-1)/(2)$

To learn more about polar equations follow

brainly.com/question/13942014

#SPJ12

Answer 2

Answer:

Answer:

the answer is y= 0.5774xstep by step explanation

Related Questions

a) Windows on the International Space Station are shown below. Suppose the long base of the window is 15.2 feet and the short base is 11.2 feet. The perpendicular height from one base to the other base is 8.4 feet. Draw one of the trapezoid-shaped windows on grid paper and label its dimensions. Describe the process you would use to find the area of one trapezoid-shaped window. (2 points)
What is the value for Y
In the given figure , the value of x is
Hello:) anyone able to help with 7? Thank you!
Can yall please help me answer all these

574 is 70% of what number?

Answers

574=0.7*x
574/0.7=your answer

401.8
u get this by dividing 574 by 100 then times it by 70

Solve the equation sin^2 x=3 cos ^2 x

Answers

Answer:

Step-by-step explanation:

Answer:

Explanation:

(

sin

)

(

cos

)

(

sin

)

(

−

(

sin

)

(

sin

)

−

(

sin

)

(

sin

)

(

sin

)

sin

(

√

)

−

(

)

−

If this was in the region

≤

$\bf \textit{Pythagorean Identities} \n\n sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \n\n[-0.35em] \rule{34em}{0.25pt}\n\n sin^2(x)=3cos^2(x)\implies sin^2(x)=3[1-sin^2(x)] \implies sin^2(x)=3-3sin^2(x) \n\n\n sin^2(x)+3sin^2(x)=3\implies 4sin^2(x)=3\implies sin^2(x)=\cfrac{3}{4}$

$\bf sin(x)=\pm\sqrt{\cfrac{3}{4}}\implies sin(x)=\pm\cfrac{√(3)}{√(4)}\implies sin(x)=\pm\cfrac{√(3)}{2} \n\n\n sin^(-1)[sin(x)]=sin^(-1)\left( \pm\cfrac{√(3)}{2} \right)\implies x= \begin{cases} (\pi )/(3)\n\n (2\pi )/(3)\n\n (4\pi )/(3)\n\n (5\pi )/(3) \end{cases}$

that is, on the interval [0, 2π].

Solve the quadratic equation for x. What is the largest solution to the equation?5x2 + 30x + 25 = 0
x = 5
x = 1
x= -1
x = -5

Answers

Answer:

-1

Step-by-step explanation:

Ryans living room is 10 feet wide, 12 feet long, and 10 feet high. If one gallon of paint covers 400 square feet of surface area, how many gallons of paint would Ryan need to paint all four walls and the ceiling? Please help.

Answers

we have to calculate the suface of the four walls and the ceiling.
Surface of the four walls=2(10 ft * 10ft ) + 2(12 ft * 10 ft)=200 ft² + 240 ft²=
=440 ft²
Surface of the ceiling=10 ft * 12 ft=120 ft²

Total surface=440 ft² + 120 ft²=560 ft²

Now, we have to caluclate the number of gallons of paint.

1 gallon------------------------400 ft²
x----------------------------------560 ft²

x=(1 gallon * 560 ft²) / 400 ft²=1.4 gallons.

answer: Ryan need to paint all four walls and the ceiling 1.4 gallons.

You have been asked to build a scale model of a restaurant out of bottle caps. The restaurant is 20 feet tall. Your scale is 2.4 cm: 1 foot. A bottle cap is 1.2 cm tall. About how many bottle caps tall will your model be?