Find a cofunction with the same value as cot(3π/7). Write your answer below with the angle expressed in radian(s).

Answer 1

The cofunction of an angle is the compliment of the angle.

In this case the formula is:. Cot(angle) = Tan(PI/2 - angle)

Put in the values: Cot(3PI/7) = Tan(PI/2 - 3PI/7)

Use common denominator: Tan(7PI/14 - 6PI/14) = Tan(PI/14) in radians

If you convert the radians to degrees the two angles are 77.15 and 12.85 which are complimentary angles.

Answer 2

3π/7 = 1.3464 radians

2π - 1.3464 = 4.9368 radians

The Cofunction is Cot( -4.9368)