im working with the unit circle to find values of tan between (0,360 dgrees) I factored this problem and have tan(theta)=3,-3 How do I convert to cos and sin so I can locate the correct angles on the unit circle?

Question

anonymous · Answer

i use identity tan = sin/cos but I only have my tan value

imqwerty · Answer

so u want to find sin and cos and u have tan(theta)=3, -3 given 
right?

anonymous · Answer

ya i factored and got those 2 results
i need angles between 0,360 but i need to convert so i cn use the unit circle

anonymous · Answer

but I forgot how i think

imqwerty · Answer

u shuld try this identity-$$\sec^2 \theta=1+\tan^2 \theta$$

from here u will get 2 values of sec 
sec =1/cos 
so u get 2 values of cos
one will be positive the other will be negative
ok till here?

anonymous · Answer

oooo that was it ok! wow

anonymous · Answer

Thanks a lot!

anonymous · Answer

i should probably memorize these identities somehow so i dont have to keep eyeballing it during the test

anonymous · Answer

im just really bad at trig, its all so confusing

anonymous · Answer

im good from there though thanks much

imqwerty · Answer

yes u will get the value of sec^2 (theta)
and  we know that
sec^2(theta)=1/cos^2(theta)

so u have 2 values of cos

then u use this identity-$$\sin^2 \theta+\cos^2\theta=1$$
u have the value of cos^2(theta) 
u can get sin^2(theta)

again there will be 2 sin(theta)
one positive one negative)