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Find the integer $n,$ $-90 < n < 90,$ such that $\tan n^\circ = \tan 1000^\circ.$

 Feb 1, 2022
 #2
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1000 mod360   =  288

288 degrees is in the 4th quadrant

288-360 = -72  

it is in the 4th quad so where tan is negative ( not that that matters)

 

tan(1000) = tan(-72)

n=-72

 Feb 3, 2022
edited by Melody  Feb 3, 2022

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