Answer:
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
Tan ∅ = - 3/4
sin ∅ = -3/5
cos ∅ =4/5
Step-by-step explanation:
Given : -4y = 3x , x > 0
i.e. 3x + 4y = 0 , x >0
4y = -3x ∴ y = - 3/4 x
The values of trigonometric functions of ∅ are
Tan ∅ = opposite / adjacent
= - 3/4 ( given that y = slope which is = Tan ∅ )
now we will find the hypothenuse ( c )
c^2 = a^2 + b^2 = 9 + 16 = 25
therefore ; c = √25 = 5
hence the trig functions are :
sin ∅ = -3/5
cos ∅ =4/5
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
