Mathematics, 21.07.2019 01:30 supiine295

Describe how you would convince a friend that sin(x + y) does not equal sin x + sin y.

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Answer from: nikki225

If the claim is that $\sin(x+y)=\sin x+\sin y$ for all x,y

, then all you need to refute it is a single example for which the equality doesn't hold. Take $x=y=\dfrac\pi2$ . Then $\sin\left(\dfrac\pi2+\dfrac\pi2\right)=\sin\pi=0$ , but $\sin\dfrac\pi2+\sin\dfrac\pi2=1+1=2$ .

If the claim is that there is some choice of x,y

for which equality holds, then we can recall the angle sum identity for sine:

$\sin(x+y)=\sin x\cos y+\cos x\sin y$

which means that, in order to have equality, we need to choose x,y

such that both $\cos y=1$ and $\cos x=1$ . We can do that; $\cos x=1$ only when

is an even multiple of $\pi$ , i.e. $x\in\{0,\pm2\pi,\pm4\pi,\ldots\}$ . Take any two of these and add them together, and you'd end up with yet another even multiple of $\pi$ , and so both sides will reduce to 0. Thus equality holds only when $x=2n\pi$ and $y=2m\pi$ for some integers m,n

Answer from: baileybryant580

Trigonometry functions

In order to convince a friend that sin(x + y) does not equal sin x + sin y, we can assume a value for the angle "x and "y"

Let;

x = 30 degreesy = 30 degrees

Substitute the given values into sin(x+y) and sinx + siny

sin(x+y) = sin(30+30) = sin60

sin 60 = 0.8660

For sinx + siny

sin x + sin y = sin 30 + 30

sinx + sin y = 0.5 + 0.5 = 1

Since 0.8660 ≠ 1.0, hence sin(x + y) does not equal sin x + sin y.

Learn more on trig. functions here: link

Answer from: Quest

step-by-step explanation:

6x9

Answer from: Quest

which would be true for stem changing verbs?

they have a consistent spelling change in the stem of the verb.

what is different about the verb “venir” as compared to other stem-changing verbs?

only the third person forms have a stem change.

which of the following could not be considered a “stem-changing” verb?

querer

which of the following would not be condsidered an event?

desfile

what word could be used in response to the following?

¿qué quieres comprar?

quero

what word could be used in response to the following?

¿dónde uds. pueden ir?

vamos

ellos ir al centro comercial.

yo comprar un vestido.

pedimos

dónde tú?

dormes

step-by-step explanation:

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Describe how you would convince a friend that sin(x + y) does not equal sin x + sin y....

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