Answer:
The correct option is:
cosθ = -3/5
Step-by-step explanation:
We have been given that:
cotθ = 3/4
such that the terminal side of θ lies in III quadrant.
Consider it a right angled triangle.
We know that:
cotθ = Base / Perpendicular
Which means Base has a magnitude of 3 and Perpendicular has the magnitude of 4.
As It lies in III quadrant, both x and y are negative.
So
Base = -3
Perpendicular = -4
Find the hypotenuse by using Pythagoras Theorem
H² = (-3)² + (-4)²
H = 5
We know that:
cosθ = Base / Hypotenuse
cosθ = -3/5
