Question

Simplify quantity 1 minus cosine squared theta divided by sine squared theta..

1
sin2 θ
cos2 θ
tan2 θ

Answer 1

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