Kenneth S. answered • 11/15/17

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the result of using quadratic formula to solve for sin x is CORRECT, IF YOU put parentheses around everything preceding " / 26."

This gives sin x = about { 0.9453, -0.40686}

Using arcsin on the first decimal number gives you x about 70.97 degrees. Also 180 - that, because sines in first quadrant also appear in second quadrant.

Using arcsin on the second decimal number, =0.40686, gives about -24 degrees. Expressed in positive form for that 4th quadrant angle, you get about 336 degrees. An also you get a corresponding angle in quadrant three, which is180+24 degrees.

I leave it to you to CHECK THESE RESULTS (all four) on your calculator.