Sinus issues

1: sin(2a)=f(x)
2: sin^2(a)=g(x)

Any way to rewrite those two so the left hand sides becomes the same, without introducing any trigonometric term (sin, cos, tan) nor any dependence on a to the right hand sides?

(If anyone wants the physical background, I'm stuck on calculating the initial velocity for a thrown item where the height and length of the throw is known, but the angle isn't.)

f(x) = sin(2a) = 2sin(a)cos(a)
= 2sin(a)sqrt[1 - sin^2(a)]
= 2sqrt[g(x)(1 - g(x))]

Thanks. Wasn't fun beating everything into shape with that, but it was doable.

Without using trig I managed to get that the initial velocity squared is equal to:
 = 2*g*H + g*D^2/(8*H)

Where g is the graviational constant, H is the max height, and D is the length of the throw.  I was surprised how nice it turned out.

>>1
Can't be done.
>>2,3,4 are black people.

When I have sinus issues, I rinse them with salt water.

>>6
LOL
At least semi related to the thread, unlike >>5.

>>7
Self-hating black.

neti pot

Top Ten Things That Math and Sex Have in Common

10. Explicit discussions of either topic is a faux pas at most cocktail parties.
9. Historically, men have been in control, but there are now efforts to get women more involved.
8. There are many joint results.
7. Both are prominent on college campuses, and are usually practiced indoors.
6. Most people wish they knew more about both subjects.
5. Both involve long and hard problems, and can produce interesting topology and geometry.
4. Both merit undivided attention, but mathematicians are prone to think about one while doing the other.
3. Saint Augustine was hostile to both, and Alan Turing took an unusual approach to both.
2. Both typically begin with a lot of hard work and end with a great but brief reward.
1. Professionals are generally viewed with suspicion, and most do not earn high pay.