SOLUTION: 1. Write cot(t) in terms of sin(t) if the terminal point determined by t is in the first quadrant. Do not leave a fraction inside a radical or use absolute value.
cot (t) =
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-> SOLUTION: 1. Write cot(t) in terms of sin(t) if the terminal point determined by t is in the first quadrant. Do not leave a fraction inside a radical or use absolute value.
cot (t) =
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Question 921368: 1. Write cot(t) in terms of sin(t) if the terminal point determined by t is in the first quadrant. Do not leave a fraction inside a radical or use absolute value.
cot (t) =
2. Write cot(t) in terms of sec(t) if the terminal point determined by t is in the second quadrant.
cot (t) =
You can put this solution on YOUR website! 1. Write cot(t) in terms of sin(t) if the terminal point determined by t is in the first quadrant. Do not leave a fraction inside a radical or use absolute value.
cot (t) = cos(t)/sin(t) = sqrt(1-sin^2(t))/sin(t)
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2. Write cot(t) in terms of sec(t) if the terminal point determined by t is in the second quadrant.
cot (t) = cos(t)/sin(t) = (1/sec)/sqrt(1-(1/sec)^2))
= (1/sec)/sqrt[sec^2-1)/sec^2]
= 1/sqrt[sec^2(t)-1]
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OR
tan^2 = sec^2-1
So cot^2 = 1/(sec^2-1)
Therefore cot(t) = 1/sqrt(sec^2-1)
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Cheers,
Stan H.
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