anonymous
  • anonymous
Find the exact value of the trigonometric function at the given real number? - Sin (21pi/2) - Cos (21pi/2) - Cot (21pi/2)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Okay, for sin(21pi/2) you want to look at what's happening to the angle as it's going around the unit circle. This one's going around 10.5 * pi times, so it's going completely around the circle 5 times, and pi/2 once. So, what is the sin(pi/2)? 1.
anonymous
  • anonymous
Same thing for cos(21pi/2) -- the angle is actually ending up to be pi/2, so what is the cos(pi/2)? 0.
anonymous
  • anonymous
For cot(21pi/2) = cot(pi/2), we look at how cot(x) = cos(x)/sin(x). If cos(pi/2) = 0 and sin(pi/2)=1, then cot(pi/2) = 0/1 = 0.

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