Question

Tan(arccosx*arcsinx)
I got Rad1-x^2 x+ Rad1-x^2 x/ Rad1-x^2 x+Rad1-x^2 x

Answer 1

There are trig identities for sum of angles such as tan(A+B) or products such as tan(A) * tan(B) but I am not aware of any identities for products of angles such as tan(A*B).

Answer 2

Are you sure the question is tan( arccosx * arcsinx ) and not tan( arccosx + arcsinx )?

Answer 3

It is Tan, I worked it out, sin/cos, so I used sin(u+v) for top, bottom cos(u+v), I I used the right triangle for the values of u and v, I am wondering if I need to reduce it because you can not have a radical on the bottom

Answer 4

You a writing an algebraic expression, not finding an angle, and once you get the expression, you can reduce if needed

Answer 5

In my second reply I asked for clarification. You have not answered the question.
How can you use "u plus v" when in your posting it is "u times v" ?

Answer 6

You can use (u+v), as I depicted in my other post, arcsin, arccos you use the triangle and Pythagorean, to get u v for tan, then tan is sin/cos, so for sin I used its formula sin(u+v), then for cos I used cos(u+v) which tan = to

Answer 7

You are still not answering my question. In your post it says:
tan( arccosx TIMES arcsinx ). I am asking is it supposed to be
tan( arccosx PLUS arcsinx ) ?

Answer 8

Ok I understand, yes it is, then the other material I posted was how to solve it