For this case we have the following fraction: (1-cos ^ 2 (θ)) / (sin ^ 2 (θ)) We must take into account the following trigonometric identity: cos ^ 2 (θ) + sin ^ 2 (θ) = 1 Therefore rewriting we have: sin ^ 2 (θ) = 1 - cos ^ 2 (θ) Substituting in the given fraction we have: (1-cos ^ 2 (θ)) / (sin ^ 2 (θ)) = (sin ^ 2 (θ)) / (sin ^ 2 (θ)) = 1 Answer: 1
