Question

Select the exact value of cot -pi/3. How do I go about this since it's asking for cotangent?

Answer 1

cot(x) = cos(x)/sin(x)
Do you know cos(-pi/3) and sin(-pi/3) ?

Answer 2

For cos it's 1/2 and for sin it's sqrt(3)/2

Answer 3

Both negative, right?

Answer 4

So would it be cot = (1/2) / (sqrt(3)/2)

Answer 5

sin is positive in 1st and 2nd quadrant
cos is positive in 1st and 4th quadrants
try now

Answer 6

cot = (1/2) divided by negative sqrt(3)/2
? (:

Answer 7

the correct is the b or 2 which =-√3 /3

Answer 8

yes :)

Answer 9

Could I just type this into the calculator? (: And thank you @aliahmed

Answer 10

I got -0.5773... which is -sqrt(3)/3, yeah? (:

Answer 11

yup

Answer 12

yep that is correct. (1/2)/(-sqrt(3)/2) = -1/sqrt(3) = -sqrt(3)/3

Answer 13

Awesome, thank you both (:

Answer 14

u wlc