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