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3 years ago

Which is the function rule that will transform a geometric figure by reflecting across the y-axis and

Mathematics

1 answer:

likoan [24]3 years ago

8 0

I think it’s between the first and third one

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Can you prove it??<br>it's hard,I tried but couldn't solve this.

BARSIC [14]

I'll abbreviate $s=\sin\theta$ and $c=\cos\theta$ , so the identity to prove is

$\dfrac{s+c+1}{s+c-1}-\dfrac{1+s-c}{1-s+c}=2\left(1+\dfrac1s\right)$

On the left side, we can simplify a bit:

$\dfrac{s+c+1}{s+c-1}=\dfrac{s+c-1+2}{s+c-1}=1+\dfrac2{s+c-1}$

$\dfrac{1+s-c}{1-s+c}=-\dfrac{-2+1-s+c}{1-s+c}=-1+\dfrac2{1-s+c}$

Then

$\dfrac{s+c+1}{s+c-1}-\dfrac{1+s-c}{1-s+c}=2\left(1+\dfrac1{s+c-1}-\dfrac1{1-s+c}\right)$

So the establish the original equality, we need to show that

$\dfrac1{s+c-1}-\dfrac1{1-s+c}=\dfrac1s$

Combine the fractions:

$\dfrac{(1-s+c)-(s+c-1)}{(s+c-1)(1-s+c)}=\dfrac{2-2s}{c^2-s^2+2s-1}$

We can rewrite the denominator as

$c^2-s^2+2s-1=c^2+s^2-2s^2+2s-1$

then using the fact that $c^2+s^2=\cos^2\theta+\sin^2\theta=1$ , we get

$1-2s^2+2s-1=2s-2s^2$

so that we have

$\dfrac1{s+c-1}-\dfrac1{1-s+c}=\dfrac{2-2s}{2s-2s^2}=\dfrac1s$

as desired.

6 0

4 years ago

(-2 1/8) -12 25/29 - 10/7=

bonufazy [111]

$\displaystyle\\-2\frac{1}{8}-12\frac{25}{29}-\frac{10}{17}=\\\\\\=-\frac{2\times8+1}{8}-\frac{12\times29+25}{29}-\frac{10}{17}=\\\\\\=-\frac{16+1}{8}-\frac{348+25}{29}-\frac{10}{17}=\\\\\\=-\frac{17}{8}-\frac{373}{29}-\frac{10}{17}=\\\\\\=-\frac{17\times29\times17}{8\times29\times17}-\frac{373\times8\times17}{8\times29\times17}-\frac{10\times8\times29}{8\times29\times17}=\\\\\\=-\frac{8381}{3944}-\frac{50728}{3944}-\frac{2320}{3944}=\\\\\\=\frac{-8381-50728-2320}{3944}=\frac{61429}{3944}$

7 0

3 years ago

Let d^2A/dt^2=6ti-24t^2j+4sintk. Find A given that A=2i+j and dA/dt=-i-3k at t=0 fuu process please to solve??

Stells [14]

For algebra problems use math. Way

6 0

3 years ago

125.315 to two significant figures

Shalnov [3]

Answer: 130

Step-by-step explanation:

The five rounds up making it 130

3 0

3 years ago

PLSSS HELP IF YOU TURLY KNOW THISS

quester [9]

Answer:

The answer is A.

Step-by-step explanation:

Count how many points are from 0 to 1.

In this problem, there are 8.

Next, we see how far the dot is away from zero.

The dot is on the second line from zero. Two would be your numerator, and 8 would be the denominator.

Therefore, your answer is A.

7 0

2 years ago