Math Problem Statement

Include CSS, SEC, COT

Solution

Certainly! In addition to the sine (sin\sin), cosine (cos\cos), and tangent (tan\tan) functions, the other three primary trigonometric functions are cosecant (csc\csc), secant (sec\sec), and cotangent (cot\cot). Here's a detailed summary of all six trigonometric functions at 00^\circ, 180180^\circ, 270270^\circ, and 360360^\circ:

sin\sin Function

  • sin(0)=0\sin(0^\circ) = 0
  • sin(180)=0\sin(180^\circ) = 0
  • sin(270)=1\sin(270^\circ) = -1
  • sin(360)=0\sin(360^\circ) = 0

cos\cos Function

  • cos(0)=1\cos(0^\circ) = 1
  • cos(180)=1\cos(180^\circ) = -1
  • cos(270)=0\cos(270^\circ) = 0
  • cos(360)=1\cos(360^\circ) = 1

tan\tan Function

  • tan(0)=0\tan(0^\circ) = 0
  • tan(180)=0\tan(180^\circ) = 0
  • tan(270)\tan(270^\circ) is undefined
  • tan(360)=0\tan(360^\circ) = 0

csc\csc Function (Cosecant, reciprocal of sin\sin)

  • csc(0)\csc(0^\circ) is undefined (since sin(0)=0\sin(0^\circ) = 0)
  • csc(180)\csc(180^\circ) is undefined (since sin(180)=0\sin(180^\circ) = 0)
  • csc(270)=1\csc(270^\circ) = -1
  • csc(360)\csc(360^\circ) is undefined (since (\sin(