Question

answer please...............

Answer 1

Answer:

12/65

Step-by-step explanation:

Given: 13 sin θ = 5.

⇒ sin θ = (5/13)

(i)

We know that cos²θ = 1 - sin²θ

⇒ cos²θ = 1 - (5/13)²

            = 1 - 25/169

            = 144/169

   cos = 12/13.

(ii)

We know that tanθ = sinθ/cosθ

                               = 5/13/12/13

                               = 5/12.

Now,

Given: (5 sin θ - 2 cos θ)/tan θ

⇒ [5(15/13) - 2(12/13)]/5/12

⇒ 12/13/5

⇒ 12/65.

Hope it helps!