SOLUTION: Find the values of the other five trig functions in QIII if cot(t)=5

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Question 1066721: Find the values of the other five trig functions in QIII if cot(t)=5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
tan%28t%29=1%2F5
sin%28t%29%2Fcos%28t%29=1%2F5
sin%28t%29=1%2FX
cos%28t%29=5%2FX
sin%5E2%28t%29%2Bcos%5E2%28t%29=1
1%2FX%5E2%2B25%2FX%5E2=1
26%2FX%5E2=1
X%5E2=26
Since it's Q3,
X=-sqrt%2826%29
sin%28t%29=-1%2Fsqrt%2826%29=-sqrt%2826%29%2F26
csc%28t%29=-sqrt%2826%29
cos%28t%29=-5%2Fsqrt%2826%29=-%285%2F26%29sqrt%2826%29
sec%28t%29=-sqrt%2826%29%2F5