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PLEASE EXPLAIN!

 

 Feb 6, 2024
 #1
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+2

-7pi/4.....convert to  + degrees thusly

 

-7/pi / 4 +  2pi   =   -7pi/4  + 8pi/4  = pi/4

 

So

tan (-7pi/4)  = tan (pi/4)  = 1

 

sec (pi/6)  =  1 / cos (pi/6)  =  1 / (sqrt (3) / 2 )  =  2 / sqrt (3)

 

cos (23pi/6)

 

23pi/6 =  3pi + 5/6 pi  .....3pi puts us back at 180°.....(5/6) pi  adds  150° to this  = 330°

This is a  30° reference angle  in the 4th quadrant

cos (30°)  =  sqrt (3)  / 2

 

 

cool cool cool

 Feb 6, 2024

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