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Need help for 56 it says solve equation to the nearest tenth use the given restrictions

Need help for 56 it says solve equation to the nearest tenth use the given restrictions-example-1

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Problem N 56

we have

sinβˆ…=0.8 ----------> interval [-90,90] ----> that means the angle lie in the I or IV quadrant

βˆ…=sin^-1(0.8)

βˆ…=53.1 degrees

In the IV quadrant, the value of sine is negative (so in the IV quadrant there is no solution)

The answer is

βˆ…=53.1 degrees

User Johannes Hinkov
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