Azza A.

asked • 05/03/16

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Given sin(7(pie)/6)=-1/2 write another trigonometric equation in radians from the same quadrant that would also equal negative one half 

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Kenneth S. answered • 05/03/16

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Add 2 pi radians to any angle, and the resulting angle is right back in the same quadrant.
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Azza A.

Can you show me how
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05/03/16

Kenneth S.

sin(k•2pi+(7/6)pi) = -½ is true for any integer value of k because sine is a periodic function...which you learn in Trigonometry (full course).
 
By going around one whole extra revolution, after positioning the terminal side of the angle 7pi/6, you are at the same terminal position--one extra revolution.  This is equivalent to 19pi/6.
 
Don't hesitate to ask your teacher for help in class--if you ask a question, MANY will benefit from the answer.
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