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Trigonometry

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Solve Trigonometric Equations: Sine with Factoring

TRIG-FGBVRU

Find the solutions to the equation on the interval $[0,2\pi ]$.

$$2\sin ^{ 2 }{ x+\sin { x-1=0 } } $$

A

$x=\cfrac { \pi }{ 6 } ,\cfrac { 5\pi }{ 6 } ,\cfrac { 3\pi }{ 2 } $

B

$x=\cfrac { \pi }{ 6 } ,\cfrac { 5\pi }{ 6 }$

C

$x=\cfrac { 3\pi }{ 2 } $

D

$x=\cfrac { \pi }{ 3 } ,\cfrac { 5\pi }{ 3 } ,\pi $