Question

Please help?
Find sin θ if cot θ = - 2 and cos θ < 0.

Answer 1

Take trigonometry in use

Answer 2

Huh?

Answer 3

@surjithayer

Answer 4

cos theta<0 means cos theta is negative so theta lies in 2nd or 3rd quadrANT.
cot theta is negative so theta lies in 2nd or 4th quadrant.
we conclude theta lies in 2nd quadrant.
csc^2 theta-cot^2 theta=1
csc^2 theta=1+cot^2 theta=1+4=5
sin^2 theta=1/5
sin theta=1/sqrt5 (in 2nd quadrant sin theta is positive)

Answer 5

My answer choices were:
-1/2, -5, sqrt5/2, and sqrt5/5..

Answer 6

@plohrr

Answer 7

yes surgithayer was right. i don't understand why its not a choice.

Answer 8

maybe we need to take the radical out? in that case it would be sqrt5/2

Answer 9

Oh, okay. That makes more sense! Thank you @plohrr ! :D God bless you!

Answer 10

:)

Answer 11

Nope, that wasn't right.. :( I missed that one, and another one.

Answer 12

… im afraid i can't help with this one anymore. sorry :(

Answer 13

Crap..

Answer 14

if sqrt5/2 isn't right, i don't know what is lol

Answer 15

@jim_thompson5910 Please help me! :c

Answer 16

See attached (for some reason the formulas aren't displaying properly)

Answer 17

Oh, thank you so much! Wonderful. :)