trig quiz\nprevious page next page\npage 32 of\nquestion 32 (1 point)\nthe point (2, -3) is on the terminal…

trig quiz\nprevious page next page\npage 32 of\nquestion 32 (1 point)\nthe point (2, -3) is on the terminal arm of db.which is the correct value of cot b?\n( a) \frac { 2 } { sqrt { 13 } } )\n( b) - \frac { 3 } { sqrt { 13 } } )\n( c) - \frac { 3 } { 2 } )\n( d) - \frac { 2 } { 3 } )\nprevious page next page\npage 32 of\nsubmit quiz 31 of 35 questions saved

trig quiz\nprevious page next page\npage 32 of\nquestion 32 (1 point)\nthe point (2, -3) is on the terminal arm of db.which is the correct value of cot b?\n( a) \frac { 2 } { sqrt { 13 } } )\n( b) - \frac { 3 } { sqrt { 13 } } )\n( c) - \frac { 3 } { 2 } )\n( d) - \frac { 2 } { 3 } )\nprevious page next page\npage 32 of\nsubmit quiz 31 of 35 questions saved

Answer

Explanation:

Step1: Recall the definition of cotangent

For a point ((x,y)) on the terminal arm of an angle, (\cot\theta=\frac{x}{y}). Here (x = 2) and (y=-3).

Step2: Calculate (\cot B)

Substitute (x = 2) and (y =-3) into the formula (\cot B=\frac{x}{y}), we get (\cot B=\frac{2}{-3}=-\frac{2}{3}).

Answer:

D. (-\frac{2}{3})