Cot(2arcsinx)

Thanks in advance:)

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- October 6th 2012, 09:34 AMnubshatNeed help simplifying a trigonometric expression
Cot(2arcsinx)

Thanks in advance:) - October 6th 2012, 10:22 AMSironRe: Need help simplifying a trigonometric expression
Note that

From this point you can use the formula and - October 6th 2012, 11:52 AMSorobanRe: Need help simplifying a trigonometric expression
Hello, nubshat!

Quote:

Let

That is: .

is in a right triangle with: and

Pythagorus says: .

Hence: .

Identity: .

We have: .

Multiply by

Therefore: .

- October 8th 2012, 07:43 AMStefanTMRe: Need help simplifying a trigonometric expression
Hi Soroban,

a little attention error in the last row:

cot (2arcsin(x)) = ....

and not

cos(2arcsin(x))=...