/sci/ - Science & Math

>>11768455
>>11768464
>nothing
define.

>>11040395
>It would make sense if you look at it with space only,

No, because space doesn't have properties that you can traverse through. "Filled space" does though.

>>10713345

>>10473027
>It's a medium because it is neither rare nor well done

Proof that the average American grill boomer is smarter than a physicist.

>>10274396
>emission of light
>light traveling
Good one M8, is this a trick question or?

>tfw attempting to learn math in my spare time but trying to get into it either frustrates me, puts me to sleep or gives me some sort of headache.
I don't know what the feeling's called, but it's like having a huge amount of pressure on one part of your skull. I'm assuming it's just stubbornness though.

/sci/ save me. I beg you.
Use the equation 8x 2 - 4xy + 5y 2 = 36 to find tan 2θ:
-4/3
-3/4
4/3

2θ is located in Quadrant:
I
II
IV


Using tangent=opposite/adjacent, draw a right triangle to find cos 2θ .
-4/5
-3/5
3/5


Using the identity cos 2θ-2cos ^2θ-1, find cosθ.
-√5/5
√5/5
(2√5)/5
Use cosine=adjacent/hypotenuse or the identity sin^2+cos ^2=1 to find sinθ.
√5/5
(2√5)/5
-(2√5)/5


tan2θ=
undefined
0
1


2θ=
Hint: Use arctan. What angle has a tangent value equal to your previous answer?
0
pi/3
pi/2

θ=
0
pi/6
pi/4
sinθ=
0
1/2
√2/2
√3/2


Transform the equation xy = 1 by rotation, thus eliminating the xy term.

(x') ^2/2 + (y') ^2/2 = 1
(x') ^2/2 - (y') ^2/2 = 1
√3(x') ^2/4 - √3(y') ^2/4 = 1

>>4930176
>>4930156
both posts were me.

If you are still willing, id still like to continue.

Perhaps im not getting it, but i still see clearly that this would work.

>>2909961

Good night.