cot is the inverse of tan
can tan ever equal -2?
hint ... Quads II and IV
can cot ever equal -0.5 ? my teacher never covered it, and i don't think it can?
3 answers
Sure it can
cotØ = -.5 = -1/2
tanØ = -2/1
sketch a right-angled triangle in quadrant II, with x = -2 and y = 1 and base angle of Ø
Ø = 180° - tan^-1 (2)
= 180 - appr 63.43° = appr 116.57°
but the tangent is also negative in quad IV, so
Ø = 360 - 63.43 = appr 296.57°
cotØ = -.5 = -1/2
tanØ = -2/1
sketch a right-angled triangle in quadrant II, with x = -2 and y = 1 and base angle of Ø
Ø = 180° - tan^-1 (2)
= 180 - appr 63.43° = appr 116.57°
but the tangent is also negative in quad IV, so
Ø = 360 - 63.43 = appr 296.57°
cot A = -0.5.
cot A = 1/Tan A,
1/Tan A = -0.5,
Tan A = -2.0.
A = -63.4o(CW). = 296.6o CCW.
Yes, the cot can = -0.5.
cot A = 1/Tan A,
1/Tan A = -0.5,
Tan A = -2.0.
A = -63.4o(CW). = 296.6o CCW.
Yes, the cot can = -0.5.
1 answer