?

There was a specific way I was taught that used something with the absolute value of the tangent of theta to the power of the absolute value of the cotangent of theta. I need this specific equation. Thank you.

Does Magnesium Chloride and Sodium Sulfate form a precipitate?

I also need help balancing an equation, finding the limiting reagent...

Thank you

I have no idea how the build for this Macro Monarch Deck should be, so any tip is welcome

Monsters: (16)

Caius the Shadow Monarch x3

Raiza the Storm Monarch x3

D.D. Survivor x3

Battle Fader x3

Spirit Reaper x2

Banisher of the Radiance x1

Morphing Jar x1

Spells: (14)

Pot of Duality x3

Dimensional Fissure x3

Mystical Space Typhoon x2

Soul Exchange x2

Reinforcements of the Army

Allure of Darkness

Giant Trunade

Dark Hole

Traps: (10)

Macro Cosmos x2

Solemn Warning x2

Bottomless Trap Hole x2

Mirror Force

Torrential Tribute

Solemn Judgment

Mind Crush

I have no idea if I should incorporate any Tuners to open Synchros, the triple Duality seems really stupid, but D-Fi and Macro always get MST'd, so Duality lets me recover faster, but maybe double is enough

I like the Deck a lot, it's helped me win some pretty epic games, now I want to know if I can kick it up a notch

Monsters (19)

Koa'ki Meiru Guardian x3

Koa'ki Meiru Wall x3

Koa'ki Meiru Sandman x3

Fossil Dyna Pachycephalo x3

Legendary Jujitsu Master x2

Thunder King Rai-Oh x2

Cyber Dragon x2

Banisher of the Radiance

Spells (11)

Pot of Duality x3

Book of Moon x2

Smashing Ground x2

Mystical Space Typhoon x2

Monster Reborn

Dark Hole

Traps (10)

Solemn Warning x2

Bottomless Trap Hole x2

Dimensional Prison x2

Mirror Force

Torrential Tribute

Solemn Judgment

Royal Oppression

I'm kind of having trouble deciding on a couple of Cards to use, mainly my Monster Line-Up:

Monsters: (20)

XX-Saber Faultroll x3

XX-Saber Boggart Knight x3

XX-Saber Fulhelmknight x3

XX-Saber Darksoul x3

XX-Saber Emmersblade

XX-Saber Ragigura

X-Saber Airbellum

X-Saber Pashuul

Ryko, Lightsworn Hunter

Super-Nimble Mega Hamster

Gorz the Emissary of Darkness

Debris Dragon

Spells: (8)

Book of Moon x2

Mystical Space Typhoon x2

Mind Control

Monster Reborn

Cold Wave

Dark Hole

Traps: (12)

Gottoms' Emergency Call x2

Solemn Warning x2

Bottomless Trap Hole x2

Trap Stun x2

Mirror Force

Torrential Tribute

Solemn Judgment

Starlight Road

Extra Deck: (15)

XX-Saber Hyunlei x2

XX-Saber Gottoms x2

X-Saber Urbellum

Mist Wurm

Stardust Dragon

Black Rose Dragon

Brionac Dragon of the Ice Barrier

Goyo Guardian

Naturia Beast

Ally of Justice Catastor

Magical Android

Armory Arm

Chimeratech Fortress Dragon

Side Deck: (15)

D.D. Crow x2

Thunder King Rai-Oh

Sangan

Ryko, Lightsworn Hunter

Saber Slash x2

Pot of Duality x2

Smashing Ground x2

Dimensional Prison x2

Trap Dustshoot

Mind Crush

Since my Perfect Circle Deck got killed from the new Ban List, I was wondering whether I should make a Cyber Gadget or Stardust Lockdown Deck. Both of them sound quite fun, but I don't really know what cards should be used in both decks. Help please :D