Prove that

arc sinx + arc cosx = arc tan [xy+{(1-x^2)(1-y^2)}^1/2]/[y{(1-x^2)}^1/2 -x{(1-y^2)}^1/2]

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- May 2nd 2009, 02:06 AMtariq_h_tauheedInverse trigonometric Function Question 2
Prove that

arc sinx + arc cosx = arc tan [xy+{(1-x^2)(1-y^2)}^1/2]/[y{(1-x^2)}^1/2 -x{(1-y^2)}^1/2] - May 2nd 2009, 03:17 AMGrandadTrig equation
- May 2nd 2009, 04:31 AMSoroban
Hello, tariq_h_tauheed!

Another approach . . .

Quote:

Prove that: .

Let: .

Then we have: . .[1]

The left side is: .

Take the tangent: . .[2]

Substitute [1] into [2]: .

Multiply top and bottom by

. . .

Therefore: .

- May 2nd 2009, 05:43 AMtariq_h_tauheed
Thanks a ton...