Answer:
Step-by-step explanation:
(1+ sinθ)/tanθ = 1/tanθ + sinθ/tanθ
= cosθ/sinθ + sinθ/(sinθ/cosθ)
= cosθ/sinθ + sinθ×cosθ/sinθ
= cosθ/sinθ + cosθ
= cosθ(1/sinθ + 1)
= (1/sinθ + 1)/(1/cosθ)
= (cscθ+1)/secθ