SOLUTION: in which quadrant will theta lie if sin>0 and cos<0? 2) find sin theta if the terminal side of theta lies along the line of y=-2x in quadrant 2? 3)If cot theta=50 what would

Question 391003: in which quadrant will theta lie if sin>0 and cos<0?
2) find sin theta if the terminal side of theta lies along the line of y=-2x in quadrant 2?
3)If cot theta=50 what would tan theta be?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In which quadrant will theta lie if sin>0 and cos<0?
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sin is positive in I and II
cos is negative in II and III
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Both conditions are met in Quadrant II
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2) Find sin(theta) if the terminal side of theta lies along the line of y=-2x in quadrant 2?
Let x = -1, then y = 2
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Then r = sqrt[1^2+2^2] = sqrt(5)
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The sin(theta) = y/r = 2/sqrt(5)
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3)If cot(theta)= 50 what would tan(theta) be?
tan(theta) = 1/[cot(theta)] = 1/50 = 0.02
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Cheers,
Stan H.
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