lukasJ1980 lukasJ1980

16-02-2020
Mathematics

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is sqrt(1 - sin^2 θ) = cos θ true? if so, in which quadrants does angle θ terminate?

Respuesta :

sqdancefan sqdancefan

16-02-2020

Answer:

I and IV

Step-by-step explanation:

Since 1-sin(θ)² = cos(θ)², the given equation is equivalent to ...

√(cos(θ)²) = |cos(θ)| = cos(θ)

This will be true where the cosine is non-negative, in the first and fourth quadrants.

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