If tanθ = (5/12). Find the value of (cosθ - sinθ)/(cosθ + sinθ).1

1.	If tanθ = (5/12). Find the value of (cosθ - sinθ)/(cosθ + sinθ).1. 17/72. 7/173. 12/174. 12/7
Answer» Correct Answer - Option 2 : 7/17 Given: tanθ = 5/12 Calculation: (cosθ - sinθ)/(cosθ + sinθ) After taking cosθ common from both numerator and denominator we get, ⇒ [1 - (sinθ/cosθ)]/[1 + (sinθ/cosθ)] ⇒ [1 - tanθ]/[1 + tanθ] ⇒ [1 - (5/12)]/[1 + (5/12)] ⇒ [(12 - 5)/12]/[(12 + 5)/12] ⇒ [7/12]/[17/12] ⇒ 7/17 ∴ The value is 7/17.

If tanθ = (5/12). Find the value of (cosθ - sinθ)/(cosθ + sinθ).1. 17/72. 7/173. 12/174. 12/7

Answer» Correct Answer - Option 2 : 7/17

Given:

tanθ = 5/12

Calculation:

(cosθ - sinθ)/(cosθ + sinθ)

After taking cosθ common from both numerator and denominator we get,

⇒ [1 - (sinθ/cosθ)]/[1 + (sinθ/cosθ)]

⇒ [1 - tanθ]/[1 + tanθ]

⇒ [1 - (5/12)]/[1 + (5/12)]

⇒ [(12 - 5)/12]/[(12 + 5)/12]

⇒ [7/12]/[17/12]

⇒ 7/17

∴ The value is 7/17.