`sec(arctan(3x))` Write an algebraic expression that is equivalent to the given expression. (Hint: Sketch a right triangle.)

balajia | Student

Taking 3x as oppsite side and 1 as the adjacent side,the hypotenuse will be equal to `sqrt(9x^2+1).`

So `tan^-1(3x)=sec^-1((sqrt(9x^2+1))/1)`

`sec(tan^(-1)(3x))=sec(sec^(-1)(sqrt(9x^2+1)))`

`=sqrt(9x^2+1)`

Access hundreds of thousands of answers with a free trial.

Start Free Trial
Ask a Question