`tan(arcsin(-3/4))` Find the exact value of the expression. (Hint: Sketch a right triangle.)

1 Answer

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balajia | College Teacher | (Level 1) eNoter

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

`sin^-1(3/4)= tan^-1(3/sqrt(7))`

`tan(sin^-1(-3/4))=-tan(tan^-1(3/sqrt7))=-3/sqrt7=-1.134`