Cosθ=3/5 and sinθ> 0
1.what is tan θ?
a. 4/3
b.5/4
c.5/3
d.3/4

2. what is secθ?
a.5/3
b.4/3
c.5/4
d.3/4

3.what is cotθ?
a.4/3
b.3/4
c.5/4
d.5/3

4. what is cscθ?
a.4/3
b.5/3
c.5/4
d.3/4

         cos(θ) = ³/₅
cos⁻¹[cos(θ)] = cos⁻¹(³/₅)
                 θ ≈ 53.13

      sin(θ) > 0
sin(53.13) > 0
          0.8 > 0

1. tan(θ)
   tan(53.13)
   1¹/₃
The answer is A.

2. sec(θ)
    sec(53.13)
    1²/₃
The answer is A.

3. cot(θ)
    cot(53.13)
   ³/₄
The answer is B.

4. csc(θ)
    csc(53.13)
    1¹/₄
The answer is C.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.