Question

If 5 tan θ – 4 = 0, then the value of 5sin????-4cos????/5sin????+4cos???? is
A. 5/3
B. 5/6
C. 0
D. 1/6

Answer 1

Answer:

the answer for this is C 0

Answer 2

C. 0

Step-by-step explanation:

Given: 5 tan θ – 4 = 0

Find: value of 5sinθ-4cosθ / 5sinθ+4cosθ

Solution:

 5 tan θ – 4 = 0

5 tan θ = 4

 tan θ = 4/5

 Sin θ / Cos θ = 4/5

 5Sin θ = 4Cos θ --------(1)

Now, 5sinθ-4cosθ / 5sinθ+4cosθ = (4Cosθ - 4Cosθ) / 4Cosθ+4Cosθ

    = 0/8

    = 0

Option C is the answer.