If \(\frac{{\cos θ + \sin θ }}{{\cos θ - \sin θ }} = 8\), then th

1.	If \(\frac{{\cos θ + \sin θ }}{{\cos θ - \sin θ }} = 8\), then the value of cot θ is equal to:1. 7/62. 9/73. 6/54. 8/5
Answer» Correct Answer - Option 2 : 9/7 Given: (cos θ + sin θ)/(cos θ - sin θ) = 8 Formula: If x/y = a/b, then Dividendo and Componendo rule (x + y)/(x - y) = (a + b)/(a - b) Calculation: (cos θ + sin θ)/(cos θ - sin θ) = 8/1 Dividendo and Componendo rule ⇒ cos θ/sin θ = (8 + 1)/(8 - 1) ⇒ cot θ = 9/7

If \(\frac{{\cos θ + \sin θ }}{{\cos θ - \sin θ }} = 8\), then the value of cot θ is equal to:1. 7/62. 9/73. 6/54. 8/5

Answer» Correct Answer - Option 2 : 9/7

Given:

(cos θ + sin θ)/(cos θ - sin θ) = 8

Formula:

If x/y = a/b, then

Dividendo and Componendo rule

(x + y)/(x - y) = (a + b)/(a - b)

Calculation:

(cos θ + sin θ)/(cos θ - sin θ) = 8/1

Dividendo and Componendo rule

⇒ cos θ/sin θ = (8 + 1)/(8 - 1)

⇒ cot θ = 9/7