Does anyone know how to solve these two similar problems? I am very confused. Please provide a good description of how to solve this question.

1. Given that θ= π/3 , which of the following shows that sinθcscθ = 1?
A. (√2/2)(√2) = 1
B. (√3/2)(2√3/3) = 1
C. (1/2)(2) = 1

2. Given that θ = π/4, which of the following shows that cosθsecθ = 1?
A. (√2/2)(√2) = 1
B. (√3/2)(2√3/3) = 1
C. (1/2)(2) = 1

Find the solutions for a triangle with a =16, c =12, and b = 63º

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Aregular pentagon with a perimeter of 21 inches is dilated by a scale factor of 5/3 to create a new pentagon. what is the perimeter of the new pentagon?