Cot(2arcsinx)

Thanks in advance:)

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- Oct 6th 2012, 10:34 AMnubshatNeed help simplifying a trigonometric expression
Cot(2arcsinx)

Thanks in advance:) - Oct 6th 2012, 11:22 AMSironRe: Need help simplifying a trigonometric expression
Note that

From this point you can use the formula and - Oct 6th 2012, 12:52 PMSorobanRe: 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: .

- Oct 8th 2012, 08:43 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))=...