Write the expression `cos(2*sin^-1(x))` as an algebraic expression in x for x > 0?  

Asked on by kboy217

1 Answer | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The expression `cos(2*sin^-1(x))` has to be expressed as an algebraic expression in x.

`cos(2*sin^-1(x))`

=> `1 - 2*sin^2(sin^-1(x))`

=> `1 - 2*(sin(sin^-1(x))^2`

=> `1 - 2*x^2`

The expression `cos(2*sin^-1(x))` can be written as `1 - 2*x^2`

Sources:

We’ve answered 319,864 questions. We can answer yours, too.

Ask a question