Answer:
The correct option is B
Step-by-step explanation:
The correct option is B.
Solution:
We have given that
cot θ = - 4
cos θ < 0
This shows that both the ratios are negative. So they lie in second quadrant because both are negative.
cot θ = - 4 it means that tan θ = -1/4 which shows that two sides opposite = 1 and adjacent = -4
Now we could find hypotenuse by Pythagorean theorem:
Hypotenuse = √(1)²+(-4)² = √1+16
=√17
Sin θ = perpendicular(opposite)/hypotenuse
Sin θ =1/√17
Now multiply and divide by √17
Sin θ= 1/√17*√17/√17
Sin θ = √17/17
Thus the correct option is B....
