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Write the expression [tex]sin(sin^-1 (\sqrt{3} / 2) - tan^-1 (x)[/tex] as an algebraic expression involving no trigonometric functions. You don’t need to rationalize the denominator.

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Answer:

Step-by-step explanation:

[tex]let~sin ^{-1}(\sqrt{3} /2)=y\\sin y=\sqrt{3} /2=sin ~(\pi /3),sin (\pi -\pi /3)\\y=\pi /3,2 \pi /3[/tex]

[tex]sin ^{-1}(\sqrt{3} /2)=\pi /3,2\pi /3[/tex]

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