Question

1) Sinθ=-1, find Secθ.

2) Cscθ=1, find Cosθ.
3) Sinθ=-1, find Cotθ.
4) Sinθ=-1, find Cosθ.
5) Sinθ=-1, find Cscθ.

Answer 1

1. sin(θ) = -1
sin⁻¹(sin(θ)) = sin⁻¹(-1)
θ = -90
sec(θ) = sec(-90) = undefined number

2. csc(θ) = 1
csc⁻¹(csc(θ)) = csc⁻¹(1)
θ ≈ 57.3
cos(θ) = cos(57.3) ≈ 0.54

3. sin(θ) = -1
sin⁻¹(sin(θ)) = sin⁻¹(-1)
θ = -90
cot(θ) = cot(-90) = undefined number

4. sin(θ) = -1
sin⁻¹(sin(θ)) = sin⁻¹(-1)
θ = -90
cos(θ) = cos(-90) = 0

5. sin(θ) = -1
sin⁻¹(sin(θ)) = sin⁻¹(-1)
θ = -90
csc(θ) = csc(-90) = -1