Answer:
The answer to your question is below
Step-by-step explanation:
Data
Point = (-7 , -2)
six trigonometric functions
Process
1.- Plot the point, See the graph below
2.- This point is in the third quadrant.
3.- The coordinates of the points gives the adjacent side (-7) and the opposite side (-2).
4.- The the hypotenuse
h² = (-7)² + (-2)²
h² = 49 + 4
h² = 53
h = [tex]\sqrt{53}[/tex]
5.- Find the trigonometric functions
sin Ф = -2/[tex]\sqrt{53}[/tex]
cos Ф = -7/[tex]\sqrt{53}[/tex]
tan Ф = -2/-7 = 2/7
cot Ф = 7/2
sec Ф = [tex]- \sqrt{53} / 7[/tex]
csc Ф = [tex]- \sqrt{53} / 2[/tex]
