# SOLUTION: WHAT IS THE EXACT VALUE OF THE FOLLOWING? 1) SIN 9PI/2 2) COSECANT 7PI

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 Question 148350: WHAT IS THE EXACT VALUE OF THE FOLLOWING? 1) SIN 9PI/2 2) COSECANT 7PIAnswer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!WHAT IS THE EXACT VALUE OF THE FOLLOWING? 1) SIN 9PI/2 2) COSECANT 7PI -------------- This one is old, your need for it might have passed, but... 1) sin(9*PI/2) 2*PI is a complete revolution, so subtract that until the value is less than 2PI. sin(9PI/2) + sin([9PI/2 - 2PI -2PI]) = sin(PI/2) = 1. If it's easier to follow use degrees. 9PI/2 = 9*180/2 deg = 810 degs 810 - 360 = 450 450 - 360 = 90 sin(90) = 1 ----------------- csc(7PI) Again, subtract 2PI as many times as possible while remaining positive. csc(7PI) = csc(PI) csc(PI) = 1/[sin(PI)] = 1/0 it's infinity, or undefined.