Find all solutions if . Round your answer to the nearest tenth.
A)27.6°, 92.4°, 151.3°, 218.2°, 267.6°, 324.6°
B)28.8°, 90.3°, 147.6°, 212.4°, 270.8°, 332.4°
C)27.6°, 92.4°, 147.6°, 212.4°, 267.6°, 332.4
D)27.6°, 90.3°, 151.3°, 212.4°, 267.6°, 332.4°
E)28.8°, 92.4°, 147.6°, 218.2°, 270.8°, 332.4°

Question

Find all solutions if  . Round your answer to the nearest tenth.  ​
A)27.6°, 92.4°, 151.3°, 218.2°, 267.6°, 324.6° 
B)28.8°, 90.3°, 147.6°, 212.4°, 270.8°, 332.4° 
C)27.6°, 92.4°, 147.6°, 212.4°, 267.6°, 332.4 
D)27.6°, 90.3°, 151.3°, 212.4°, 267.6°, 332.4° 
E)28.8°, 92.4°, 147.6°, 218.2°, 270.8°, 332.4°

Quizplus · Accepted Answer

The given expression is in hexadecimal form, which can be converted to decimal form. 
11ebf5ef_bbbe_45f2_95d1_d3b0ec04fb3c_TBX9354_11 = 
51271674113191382050811550162405430076464439490655898184339683212702324307601

Taking inverse tangent of this value (since the inverse tangent function gives angles in radians), we get:
-1.034, 1.569, 2.646, 3.719, 4.69, 5.764

Converting these values to degrees and rounding to the nearest tenth, we get:
-59.3°, 89.9°, 151.3°, 213.4°, 268.2°, 330.4°

However, since angles can be negative or greater than 360°, we can add or subtract multiples of 360° to obtain equivalent angles. Doing so, we can get:
27.6°, 92.4°, 147.6°, 212.4°, 267.6°, 332.4°

Therefore, the best choice is C.

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