Respuesta :

Answer:

Option 4

Step-by-step explanation:

Given:

Sinθ = [tex]\frac{15}{17}[/tex]

Since, cos2θ = 1 - 2sin²θ

cos2θ = [tex]1-2(\frac{15}{17})^2[/tex]

cos2θ = 1 - [tex]\frac{450}{289}[/tex]

cos2θ = [tex]\frac{289-450}{289}[/tex]

cos2θ = [tex]-\frac{161}{289}[/tex]

Therefore, Option 4 will be the answer.