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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.

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 tri class=

Answer :

let sin[tex] \theta [/tex] = 3/x

[tex] \theta [/tex] is the angle in a right-angled triangle with 3 as opposite side and x as the hypothesis

cos[tex] \theta [/tex] = adjacent side / hypothesis

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

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

= sqrt(1 - 9/x^2)


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