SOLUTION: 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.
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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(5328) (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.
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