Sine On Cos Can Turn Into Tan

parodies

To the tune of Santa Claus Is Coming To Town, probably the Springsteen version.

Liner notesI think this was my first MathsJam Jam song, possibly written before I knew there was a MathsJam Jam.

You'd better swot up, it's hard to get by
Unless you know the graphs from nought to 2π 2\pi ,
Sin on cos can turn into tan.

You're squaring sin(x) \sin(x) , squaring the cos,
You're going to get one whatever x x was,
Sin on cos can turn into tan.

You even know the hard ones, you barely have to check
You know that 1+tan2(x) 1 +\tan^2(x) becomes the square of sec!

You've drawn it all out, it's easy to see,
cos(π6)=123 \cos\left(\frac{\pi}{6}\right) = \frac{1}{2} \sqrt 3 *'cos pi by six is a half of root-three'

You've picked up all the formulas, you've read them through and through
The area of a sector is r2θ2 \frac{r^2 \theta}{2} *'r-squared theta over two'

You used to hate radians, now it's your strength
Since you learned that rθ r \theta gives the arc-length
Sin on cos can turn into tan.

Your teacher’s in a Santa hat, you swear that you don’t know her
Because there’s really no excuse for ho-ho-hoh-cah-toa.

You'd better swot up, it's hard to get by
Unless you know the graphs from nought to 2π 2\pi
Sin on cos can turn into tan.