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Novosadov [1.4K]
3 years ago
14

What does Sin mean in geometry

Mathematics
2 answers:
Darya [45]3 years ago
4 0

Answer:

in mathematics, the sine is a trigonometric function of an angle.

Step-by-step explanation:

The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).

Fixed point: 0

Critical point: kπ + π/2

Inflection point: kπ                                                                                                             hope this helps you :)

Elodia [21]3 years ago
4 0

Answer:

sine=  hypotenuse/opposite

Step-by-step explanation:

In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).

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Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y
koban [17]

\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}

Substituting this into the other ODE gives

-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0

Since x(t)=-\dfrac14y'(t), it follows that x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16. The ODE in y has characteristic equation

r^2-16=0

with roots r=\pm4, admitting the characteristic solution

y_c=C_1e^{4t}+C_2e^{-4t}

From the initial conditions we get

y(0)=5\implies 5=C_1+C_2

y'(0)=16\implies-16=4C_1-4C_2

\implies C_1=\dfrac12,C_2=\dfrac92

So we have

\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}

Take the derivative and multiply it by -1/4 to get the solution for x(t):

-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}

7 0
3 years ago
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uysha [10]

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6 0
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Answer:

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7 0
3 years ago
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What is the sum of 36(6 - 4) and 6(6 – 8)?
Dmitry_Shevchenko [17]

Answer:

Your answer would be 60

Step-by-step explanation:

=36(6 - 4) 6(6 – 8)

= 36(2) + 6 (-2)

= 72 + (-12)

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hope it helps!

6 0
3 years ago
Write a linear function f with the given values f(0) = -5 f(4) = -3
Maslowich

Answer:

f(x)=1/2x-5

Step-by-step explanation:

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3 years ago
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