Hello, classicstrings!

Is there a typo?

In the final form, aren'tbothangles ½θ ?

I have: .v .= .1000·sinθ·cosθ·tan(½θ)

and I need to rearrange it to: .v .= .a·sin²(½θ) + b·sin^4(½θ)

And hence find valuesaandb.

Identities

. - - . sinθ .= .2·sin(½θ)·cos(½θ)

. . . . cosθ .= .1 - 2·sin²(½θ)

. .tan(½θ) .= .sin(½θ)/cos(½θ)

We have: .v .= .1000 · sinθ · cosθ · tan(½θ)

. . . . . . . .v .= .1000 · 2·sin(½θ)·cos(½θ) · (1 - 2·sin²θ) · sin(½θ)/cos(½θ)

. . . . . . . .v .= .2000·sin²(½θ)·(1 - 2·sin²θ)

. . . . . . . .v .= .2000·sin²(½θ) - 4000·sin^4(½θ)

Therefore: .a = 2000, b = 4000

Edit: silly me . . . I had dropped a zero . . . sorry!