Question

If tan theta =4/5,find the value of cos theta -sin theta /cos theta +sin theta

Answer 1

Answer:

(Cosθ - Sinθ)/(Cosθ + Sinθ) = 1/9  if Tanθ = 4/5

Step-by-step explanation:

If tan theta =4/5,find the value of cos theta -sin theta /cos theta +sin theta

Tanθ = 4/5

(Cosθ - Sinθ)/(Cosθ + Sinθ)

Lets divide numerator & Denominator by Cosθ

= (1 - Sinθ/Cosθ)/(1 + Sinθ/Cosθ)

as Sinθ/Cosθ = Tanθ

= (1 - Tanθ)/(1 + Tanθ)

Using Tanθ = 4/5

= (1 - 4/5)/(1 + 4/5)

= (1/5)/(9/5)

= 1/9

(Cosθ - Sinθ)/(Cosθ + Sinθ) = 1/9  if Tanθ = 4/5

Answer 2

Step-by-step explanation:

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