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Simone Werner

Simone Werner

Answered question

2022-05-22

Simplify 1 cos 2 ( θ ) 1 + tan 2 ( θ )

Answer & Explanation

Porter Cohen

Porter Cohen

Beginner2022-05-23Added 7 answers

1 cos 2 ( θ ) 1 + tan 2 ( θ ) = 1 cos 2 ( θ ) 1 + tan 2 ( θ ) = sin 2 ( θ ) ) 1 + tan 2 ( θ ) = ( cos 2 ( θ ) cos 2 ( θ ) ) sin 2 ( θ ) ) 1 + tan 2 ( θ ) .
Now cos 2 ( θ ) tan 2 ( θ ) = sin 2 ( θ ) so we get
1 cos 2 ( θ ) 1 + tan 2 ( θ ) = cos 2 ( θ ) sin 2 ( θ ) cos 2 ( θ ) + sin 2 ( θ ) = sin 2 ( θ ) cos 2 ( θ ) .
Riley Yates

Riley Yates

Beginner2022-05-24Added 3 answers

HINT:
tan 2 ( θ ) = { tan ( θ ) } 2 = ( tan θ ) 2 = tan 2 θ
cos 2 ( θ ) = { cos ( θ ) } 2 = ( cos θ ) 2 = cos 2 θ

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