Question

Q5 Q33.) Use a right triangle to write the following expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function.

Answer 1

let sin
`\theta` = 3/x

`\theta` is the angle in a right-angled triangle with 3 as opposite side and x as the hypothesis

cos
`\theta` = adjacent side / hypothesis

= sqrt(x^2 - 3^2) / x

= sqrt(x^2/x^2 - 9/x^2)

= sqrt(1 - 9/x^2)