Domain and Range King

Verse

Listen up class, let me drop this sound,

Inverse Trig Functions gonna break it down!

Domain and range, keep it in your brain,

Score full marks, that's the ultimate gain!

Verse

Sin inverse, hear the golden line,

Domain: minus one to one, that's fine!

Range: minus π by 2 to π by 2,

Both ends included, that's the truth!

Verse

Cos inverse, switch the scene,

Domain's the same, nice and clean.

Range: zero up to π,

Remember that and you'll fly high!

Verse

Tan inverse never says stop,

Domain: all real numbers, straight to the top.

Range: minus π by 2 to π by 2,

But not including ends—keep that clue!

Verse

Cot inverse, don't get late,

Domain: all real numbers, that's great!

Range: zero to π,

Open ends, don't ask why!

Chorus

Sec inverse and Cosec too,

Domain: x ≤ −1 or x ≥ 1, that's true!

Ranges are fixed, don't rearrange,

Principal values make the range!

Outro

Domain tells inputs, range tells score,

Inverse Trig ain't scary anymore!

Class 12 champs, clap and sing—

Domain and Range... that's the KING!