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Answer :

Answer:

x = 9.47 degrees  ( in first quadrant.

Step-by-step explanation:

sin2x + sinx cos x = 1/2

Now sinx cos x = 1/2sin2x so:

3/2sin2x = 1/2

sin2x = 1/2 / 3/2

sin2x = 1/2 * 2/3 = 1/3

2x = arcsin 1/3 = 19.47 degrees

x = 9.74 degrees to nearest hundredth.