SOLUTION: In which quadrant can a standard angle θ satisfy the following conditions:
(i) sin θ > 0
(ii) −cot θ < 0
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-> SOLUTION: In which quadrant can a standard angle θ satisfy the following conditions:
(i) sin θ > 0
(ii) −cot θ < 0
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You can put this solution on YOUR website! In which quadrant can a standard angle θ satisfy the following conditions:
(i) sin θ > 0
sin(t) = y/r
Since r is always positive, the sign of sin depends only on "y":
Ans: sin is positive when y is positive; that is in QI and QII
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(ii) −cot θ < 0
That equation is equivalent to cot(t) > 0
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cot(t) = x/y
For cot(t) to be positive, both x and y must have the same sign.
Ans: -cot(t) < 0 when x and y are in QI and when x and y are in QIII.
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Cheers,
Stan H.
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