Given sin x =.1234, find x in degrees. Round your answer to the nearest tenth.
Mathematics · High School · Sun Jan 24 2021
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Given:
sin x = .1234
Determine the value of x in degrees.
Solution:
In order to determine the value of x in degrees, we transpose sin to the other side of the equation, although unlike transposing whole numbers that we only change the sign, for trigonometric functions, there is a different condition. Instead of changing the sign, we raised the trigonometric function to a negative degree, which we can read as arc, hence for sin it will become arc sin. (shift sin when using a scientific calculator.
sin x =.1234
x = sin^-1 (.1234)
x = 7.1 degrees
Final answer:
x = 7.1 degrees