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4 February, 10:53

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

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  1. 4 February, 11:21
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    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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