Question

if tan =4/5, then find the value of (5cos-3sin)/(cos+2 sin).​

Answer 1

Answer:

Step-by-step explanation:

We have,

3sinθ+4cosθ=5              ………. (1)

On squaring both sides, we get

(3sinθ+4cosθ)  

2

=5  

2

 

9sin  

2

θ+16cos  

2

θ+24sinθcosθ=25

9(1−cos  

2

θ)+16(1−sin  

2

θ)+12×2sinθcosθ=25

9−9cos  

2

θ+16−16sin  

2

θ+12×2sinθcosθ=25

25−9cos  

2

θ−16sin  

2

θ+12×2sinθcosθ=25

9cos  

2

θ+16sin  

2

θ−12×2sinθcosθ=0

(3cosθ−4sinθ)  

2

=0

3cosθ−4sinθ=0

Hence, the value is 0.We have,

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