Question

Find the value of each of the other 5 trig functions for an angle 'X', w/out finding X, given: cos(x)=-sq. rt.5/3 & cot(x)>0

Answer 1

fins the missing side via pythagoras
then you can find any trig ratio you need

Answer 2

i put sinx=2/3 and it was marked wrong, any ideas?

Answer 3

if cot is + and cos is +, then sin is ?

Answer 4

positive?

Answer 5

\[\cot(x)=\frac{\cos(x)}{\sin(x)}\]

cos(x)/sin(x) is positive if both cos(c) and sin(x) are positive
or
cos(x)/sin(x) is positive if both cos(X) and sin(x) are negative

Answer 6

well okay and if cot is + and cos is -, then sin is?

Answer 7

negative

Answer 8

right you have here in your problem cot is positive and cos is negative
so your sin value will be negative as well

Answer 9

if you draw it on a graph, will it be in quadrant 2? if it is wouldnt the adjacent side be negative?

Answer 10

you will be in quadrant 3 because both sin and cos are negative