SOLUTION: if sin 0 = 3/5 and cos 0<0 then cot0= ? Thank you

Algebra ->  Trigonometry-basics -> SOLUTION: if sin 0 = 3/5 and cos 0<0 then cot0= ? Thank you      Log On


   

Question 535927: if sin 0 = 3/5 and cos 0<0 then cot0= ?
Thank you
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
sin+%28theta%29++=+3%2F5
For any angle
%28sin+%28theta%29%29%5E2%2B%28cos+%28theta%29%29%5E2=1,
so if cos+%28theta%29%3C0,
then cos+%28theta%29=-4%2F5
and cot+%28theta%29=cos+%28theta%29%2Fsin+%28theta%29=%28-4%2F5%29%2F%283%2F5%29=-4%2F3