`sin(arctan(3/4))` Find the exact value of the expression. (Hint: Sketch a right triangle.)

balajia | Student

Taking 3 as oppsite side and 4 as the adjacent side,the hypotenuse will be equal to `sqrt(3^2+4^2)=5.`

`tan^-1(3/4)=sin^-1(3/5)`

`sin(tan^-1(3/4))=sin(sin^-1(3/5))=3/5.`

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