B Tan^-1 to PI Form: Get Help Here

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The discussion revolves around the calculation of tan^-1(1/-√3), where one participant initially finds the answer to be -30 degrees, while a revision book states it should be 5π/6 radians. It is clarified that the principal value of arctan is between -π/2 and π/2, which affects the interpretation of the result. Participants suggest recalculating with the calculator set to radians, noting that -π/6 is equivalent to 5π/6 in terms of tangent values. The conversation emphasizes the importance of understanding the range of arctan and the equivalence of angles in trigonometric functions.
axer
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Hello, so while i was doing my own revision. When putting tan^-1(1/-√3) i receive the answer as -30. however, (im doing demovoier's theorem) in the revision book it says the answer should be 5π/6 .

Help to brighten me? thanks.
 
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I think you are right because the principal value of arctan lies from -π/2 to π/2...
 
axer said:
Hello, so while i was doing my own revision. When putting tan^-1(1/-√3) i receive the answer as -30. however, (im doing demovoier's theorem) in the revision book it says the answer should be 5π/6 .

Help to brighten me? thanks.
make the calculation again but this time set the calculator in radians =D
if you give the answer -pi/6 don't worry is the same as 5pi/6, because tan(-pi/6)=tan(5pi/6)=1/-√3=-√3/3
 

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