Advanced Functions (MHF4U) · Trigonometric Functions

Exact trigonometric values at special angles (radians)

Find the exact value of sin, cos, or tan at special angles given in radians, in any quadrant. Unlimited questions, five difficulty levels, and a full worked solution every time — free.

Practice this skill Curriculum: MHF4U-TF1.2

Try one

Find the exact value of tan(0).

  • −√(3)/2
  • √(3)/2
  • √(2)/2
  • 0

Answer: 0

See one solved, step by step

Find the exact value of sin(5pi/6).

  • √(3)/3
  • 0
  • 12
  • 1
📘 Worked solution
1Locate 5pi/6 on the unit circle.The angle's position tells you the reference angle and the quadrant.
2sin(5pi/6) = 12Use the special-triangle ratio for the reference angle, with the sign from the quadrant (CAST rule).

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