Use , and then
Originally Posted by goldenroll
2. If t^(2) = ln(1 + x) − ln(1 − x), what is x in terms of t?
Raise to the power of both sides:
Solve for .
Write the equation as
3. What are all solutions of the equation: sin^(2) x + 2 sin x = 5/4?
This is a quadratic in . Factorise and solve.
I'm not quite sure what the square root sign covers here. I assume you mean:
4. If f (x) = √4x^(2) + 8, x ≥ 0, what is f ^(− 1) (x)?
So, to find , let . Then
Now make the subject of this equation, to give
5. sin(2 cos^(−1) x) is equivalent to