want help in rewrite expression sqrt(81-x^(2))/x x=9 sin theta

llltkl | Student

Given `x=9sintheta`

To rewrite the expression `sqrt(81-x^(2))/x` plug in the value of x.

`sqrt((81-(9sintheta)^2)/(9sintheta))`

`=sqrt((81-81sin^2theta)/(9sintheta))`

`= sqrt((81(1-sin^2theta))/(9sintheta))`

`= sqrt((81*cos^2theta)/(9sintheta))`    `(sin^2theta=1-cos^2theta)`

`=3costheta/sqrtsintheta`

This is the required expression.

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