Find all the values of theta on the interval [0,2pi) that satisfy the equation: sin(theta) = -1/2 ?

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Find all the values of theta on the interval [0,2pi) that satisfy the equation: sin(theta) = -1/2 ?

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Answer 1 · 2018-02-27T02:49:06

#(7pi)/6, (11pi)/6#

Explanation:

Use your unit circle:

enter image source here

#sin(theta)# is the y-coordinate of the point on the unit circles. If you examine those points, you will find #sin(theta)=-1/2# at #(7pi)/6# and #(11pi)/6#

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Find all the values of theta on the interval [0,2pi) that satisfy the equation: sin(theta) = -1/2 ?

1 Answer

Explanation:

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