Question

Rewrite the expression as an algebraic expression.

sin (tan^-1(4x)-sin^-1(4x))

Answer 1

I'd set this whole thing equal to something like y, then take the inverse sine of both sides to expose inverse tangent. retricearcsine(4x) to both sides, and then take the tangent of both sides to have (expression)=4x. Then use double angle formula of tangent to expand the arcsines out, and use fact that tan = sin/cos and cos = sqrt(1-sin^2) to get everything in terms of something algebraic. Then go to town solving for y.

Answer 2

*Add, not 'retrice... :P

Answer 3

No feedback from loco85..?

Answer 4

Loco fell asleep. Great derivation.

Answer 5

haha...thanks, J Dog...a medal for your appreciation ;p