In what quadrants are the sin, cos, and tan positive, and in which are they negative (please read below)?

Question

Just straightforward answers please. I took a test recently and haven't had precal trig. since high school and I'm wondering if I got it right. It's not that difficult, but I just to check what I got. Thank you.

Answer 1

In quadrant one, sine, cosine, and tangent are positive. In quadrant two, sine is positive, and cosine and tangent are negative. In quadrant three, tangent is positive, and sine and cosine are negative. And in quadrant four, cosine is positive, and sine and tangent are negative.

Quadrant 1 – Sin(+) Cos(+) Tan(+)
Quadrant 2 – Sin(+) Cos(–) Tan(–)
Quadrant 3 – Sin(–) Cos(–) Tan(+)
Quadrant 4 – Sin(–) Cos(+) Tan(–)

Answer 2

Just memorize "All Student Take Calculus".
First word is the 1st quadrant and second word is 2nd quadrant, and so on.
All stands for positive sin, cos, tan in first quadrant
Student stands for positive sin (start with S) in second quadrant
Take stands for positive Tan in third quadrant
Calculus stands for positive in fourth quadrant

Answer 3

u know how to remember this thing.......very simple......

to know whether the given sin or cos or tan is +ve, we remember this simple sentence..........Add Sugar To Coffee!!

in the first quadrant, all are positive
in the second, sine is positive
in third, tan is +ve
in fourth cos is +ve

see so simple, just relate the words with the quadrants, 1st word 1st quad and so on.

take care,
good luck!

Answer 4

I personally prefer the "All Students Take Crack" method. Plus a diagram usually helps.

Answer 5

look for dude99's resolved question about trig ratios. The best answer selection pretty much covers it.