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
Answers
Answered by
1
Answer:
the answer for this is C 0
Answered by
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.
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