161k views
1 vote
Simplify quantity 1 minus cosine squared theta divided by sine squared theta..

1
sin2 θ
cos2 θ
tan2 θ

2 Answers

1 vote

Answer:

A. 1

Explanation:

User Harlow Burgess
by
8.1k points
4 votes
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
User Helle
by
7.9k points

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