# SOLUTION: solve for x using trigonometry for the interval [0, 2&#960;) sin^2x= 1/2 The x after the 2 is NOT a part of the exponent.

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: solve for x using trigonometry for the interval [0, 2&#960;) sin^2x= 1/2 The x after the 2 is NOT a part of the exponent.       Log On

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 582240: solve for x using trigonometry for the interval [0, 2π) sin^2x= 1/2 The x after the 2 is NOT a part of the exponent. Answer by KMST(1869)   (Show Source): You can put this solution on YOUR website! There is a positive and a negative value for . The positive solution is: The negative solution is: Those four angles , , and are the solution. The reference angle is , or for those allergic to . For each (first quadrant) reference angle there is, in each of the other quadrants, a "reflection" angle that has the same absolute value for all trigonometric functions. It is , the reflection on the y axis, for the second quadrant. It is , the reflection on the origin, for the third quadrant, and , or if you want it positive, the reflection on the x axis, for the third quadrant.