find the values of the remaining trigonometric functions at t from the given infromation

Question

parthkohli · Answer

Hmm?

anonymous · Answer

oops sorry.... for example :   sint=5/13 , cos t = -12\13

parthkohli · Answer

OK.  The remaining trig ratios are $\tan(t), \cot (t), \sec(t), \csc (t)$.  First, $\tan(t) = \dfrac{\sin(t)}{\cos(t)}$

anonymous · Answer

oooohhh!! so i would just plug in the numbers into the triangle?

parthkohli · Answer

Yes, indeed!

parthkohli · Answer

You don't even need to draw a triangle here.  It's straightaway identities. :)

anonymous · Answer

Ahhh!! See I was just reading the question wrong! :)

parthkohli · Answer

It's only asking you the values of tan, cot, sec and csc for t.

anonymous · Answer

What if they give me this : sint= -1\2, cost>0

parthkohli · Answer

This one is simple as well!  You can use the Pythagorean Theorem.

anonymous · Answer

because sin is -1/2, would cos be the square root of 3/2 ?

parthkohli · Answer

Yup!

anonymous · Answer

YOU ARE TO AWESOME MAN!! THANK YOU!! CANT BELIEVE I DIDNT UNDERSTAND THAT! :D Thanks man :)

parthkohli · Answer

No sweat, bro.  Now you do!

anonymous · Answer

oh one more thing? they will specify a quadrant right? because it could also be -square root of 3/2