Question

1. csc(2π/5) = sec(?)
2. cos(π/4) = sin(?)

Answer 1

1. To find sec(?), we can use the identity sec(x) = 1/cos(x). Since csc(x) = 1/sin(x), we can substitute this value into the equation:
csc(2π/5) = sec(?)
1/sin(2π/5) = 1/cos(?)
cos(?) = sin(2π/5)

2. To find sin(?), we can use the identity sin(x) = √(1 - cos^2(x)). Substituting the given value into the equation:
cos(π/4) = sin(?)
sin(?) = √(1 - cos^2(π/4))
sin(?) = √(1 - (1/√2)^2)
sin(?) = √(1 - 1/2)
sin(?) = √(1/2)
sin(?) = 1/√2 or √2/2