3 years ago

How do you prove the identities? 1) 1- cos²Θ ≡ sin²Θ 2) (1-sin²Θ) tanΘ≡ cosΘ sinΘ

1 answer:

5 0

Hello :
1) 1- cos²Θ ≡ sin²Θ
cos²Θ + sin²Θ = 1
sin²Θ = 1- cos²Θ


2) (1-sin²Θ) tanΘ≡ cosΘ sinΘ
by 1) :
1-sin²Θ =cos²Θ
cos²Θ × tanΘ = cos²Θ × (sinΘ)/(cosΘ) =cosΘ sinΘ

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