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Is square root 1 minus cosine squared theta = −sin θ true? if so, in which quadrants does angle θ terminate?

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The triangular identification states that the sum of the square of cosine and sin equals 1. In this case, an attempt is made to rearrange the recognition and an attempt is made to verify whether the above statement is true.

Square root 1 minus square cosine theta = −sin Θ
This is only true in angles tried as (360-45) or (270-45). so Θ should be in quarters III and IV only