check answer please!
Let theta be an angle in quadrant III such that sin (theta)= (-3/4). Find the exact values of and sec and cot.
i got sec=-4/√7 and cot=√7/-3

Question

check answer please!
Let theta be an angle in quadrant III such that sin (theta)= (-3/4). Find the exact values of and sec and cot.
i got sec=-4/√7 and cot=√7/-3

jhannybean · Answer

$\sin(\theta) = -\dfrac{3}{4}$ 

sin = opp/ hyp yes?

nnesha · Answer

if you remember CAST rule 
which function is positive or negative in 3rd quadrant ?

nnesha · Answer

the*

anonymous · Answer

cos and sin are negative while tan is positive

jhannybean · Answer

|dw:1439527075496:dw|

nnesha · Answer

so if tan is positive cot = ? positive or negative ?

anonymous · Answer

negative?

nnesha · Answer

tan is reciprocal of cot

nnesha · Answer

i just wanted to know if you understood the signs of all 3 functions or not

nnesha · Answer

look at jhanny;s comment 
answer that 
she will help you

anonymous · Answer

I got adjacent as √7 and opposite as -3

nnesha · Answer

|dw:1439527747421:dw|
write the opposite and hyp

anonymous · Answer

opposite is -3 and hyp is -4

nnesha · Answer

-4 ??

anonymous · Answer

maybe im confused, but doesnt the negative sign apply to both 3 and 4?

nnesha · Answer

well 
if both hyp and opposite are negative  then it should be $$\frac{ -3 }{ -4 } $$ which is equal to positive

anonymous · Answer

oh so opposite would be -3 and hyp would just be 4

nnesha · Answer

yes right |dw:1439527997509:dw|
and adjacent equal to ?