SOLUTION: Without using a calculator, find all the solutions of tan(t)=&#8722;&#8730;3 where &#8722;&#960;<t&#8804;&#960;.

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Question 1111725: Without using a calculator, find all the solutions of
tan(t)=−√3 where −π

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Something in the characters you are using in your message is causing the end of the message to not be interpreted, so we can't tell the range of values you have specified for t. I will guess it is from -pi to +pi.

tan(t) = sqrt(3) or -sqrt(3) means a reference angle of 60 degrees, or (1/3)pi radians.
Since the value is negative, that means a reference angle of (1/3)pi in quadrants 2 and 4.
In the range -pi to +pi, that means the angles are (-1/3)pi and (2/3)pi.

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