Charlie W.

asked • 12/06/21

Hi, I need help with this Plz

Determine the correct value for the following angles. No Decimals!

  1. Sec(135°)
  2. Csc(-150°)
  3. Tan(780°)
  4. Sec(-pi/6)
  5. Csc(14pi/3)
  6. Tan(7pi/6)

I really appreciate it if you help with all the problems, if not then can you please help me with only 4,5,6 since I don't know how to do problems with pi. Please and Thank You

Aaron W.

Use your text book to locate "unit circle" ... or google it. Secant function is the inverse of the cosine. Sec(x) = 1 / cos(x) -pi/6 means that you rotate into the lower right quadrant (i.e. 4th quadrant) On the unit circle, the x values are cosine values, and y values are the sine values. cos(-pi /6) = cos( 11 pi / 6) = sqrt(3) / 2 But you need the inverse of this result. so... sqrt(3) / 2 For degrees, find a unit circle with both OR convert the degrees over to radians with pi = 180 degrees. You can do the rest of the problems in similar fashion by following this and breaking everything down into sine and cosine functions
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12/06/21

Andrew F.

Aaron meant to say "secant is the reciprocal of cosine," so if cos(angle) in "standard position " is x/r, then secant(angle) is r/x Inverse is very different-----sin(30 degrees) = .5 and inverse sin(.5) = 30 degrees
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12/06/21

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