4 years ago

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

Mathematics

1 answer:

jonny [76]4 years ago

7 0

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

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