How do you find the other five trigonometric values given cos t = 5/13 and sin t > 0?

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How do you find the other five trigonometric values given cos t = 5/13 and sin t > 0?

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Answer 1 · 2016-07-21T21:28:05

#sect=13/5#;#sint=12/13#;#cosect=13/12#;#tant =5/12##cott=12/5#

Explanation:

#cost =5/13#
#sect=1/cost=13/5#
#sint=sqrt(1-(5/13)^2)#
or
#sint=sqrt(1-25/169)#
or
#sint=sqrt((169-25)/169)#
or
#sint=sqrt(144/169)#
or
#sint=12/13#
#cosect=1/sint=13/12#
#tant =sint/cost = (5/13)/(12/13) =5/12#
#cott=1/tant=12/5#

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How do you find the other five trigonometric values given cos t = 5/13 and sin t > 0?

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