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lawyer [7]
3 years ago
15

By , cos(θ) = StartFraction x Over r EndFraction, and by , sin(θ) = StartFraction y Over r EndFraction. Multiplying both sides o

f the above equations by r, we get that x = r cos(θ) and y = r sin(θ). The states that x2 + y2 = r2. By , we have [r cos(θ)]2 + [r sin(θ)]2 = r2. Applying the , the equation can be written as r2 cos2(θ) + r2 sin2(θ) = r2. Dividing both sides of the equation by r2 results in cos2(θ) + sin2(θ) = 1.
Mathematics
1 answer:
Marianna [84]3 years ago
8 0

Answer:

definition of cosine, definition of sine, pythagorean theorem, substitution, laws of exponents.

Step-by-step explanation:

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morpeh [17]

Answer:

6

Step-by-step explanation:

hope this helps

3 0
3 years ago
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Don't know what to do :\\
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Answer: Choice A) 12x^2 - 48x + 21; all real numbers

===========================================================

Work Shown:

(f * g)(x) = f(x) * g(x)
(f * g)(x) = ( f(x) ) * ( g(x) )
(f * g)(x) = ( -2x+7 ) * ( -6x+3 )
(f * g)(x) = -2x*( -6x+3 ) + 7*( -6x+3 )
(f * g)(x) = -2x*(-6x) - 2x*(3) + 7*(-6x) + 7*(3)
(f * g)(x) = 12x^2 - 6x - 42x + 21
(f * g)(x) = 12x^2 - 48x + 21

The domain is the set of all real numbers because we can plug in any number in for x, to get some output for y. There are no issues to worry about such as division by zero errors, square root of a negative number, etc. 
6 0
3 years ago
Which transformation is a translation?
astra-53 [7]

Answer:

[2] Translation

[4]Transformation

Step-by-step explanation:

Translation is just moving the shape.

Transformation is changing the shape and tilting it changed the shape.

7 0
2 years ago
Calcula el RIQ de las temperaturas en las Ciudades de Kansas, Misouri las temperaturas: 23,25,28,28,32,33,35 y en Paradise, Mich
sasho [114]

Respuesta:

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Paradise, Michigan = 3

Explicación paso a paso:

El rango intercuartílico (IQR) = Q3 - Q1

Q3 = 3/4 (n + 1) th término

n = número de muestras

Q1 = 1/4 (n + 1) th término

Kansas Misuri:

23,25,28,28,32,33,35

Datos pedidos: 23, 25, 28, 28, 32, 33, 35

n = 7

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Q1 = 33 - 25 = 8

Paradise, Michigan:

16,24,26,26,26,27,28

Datos pedidos: 16,24,26,26,26,27,28

Q1 = 1/4 * 8 = 2do = 24

Q3 =. 3/4 * 8 = 6to = 27

Q3 - Q1 = 27 - 24 = 3

8 0
2 years ago
Please answer questions from the following images!
Lelechka [254]
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