Question

Find sin θ if cot θ = -2 and cos θ < 0

Answer 1

???????

Answer 2

cot θ = -2 and cos θ < 0
cot θ = cosθ/sinθ
cosθ=-2sinθ
\[\cos θ=\sqrt{1-\sin^2θ}\]
\[1-\sin^2 \theta= 4\sin^2 \theta\]
\[1/5=\sin^2 \theta\]
\[1/\sqrt5= \sin \theta\]
\[\sin \theta =\pm 1/\sqrt 5\]

Answer 3

thats not an option -.-

Answer 4

its -1/2 -5 \/5/2 or \/5/5

Answer 5

???????

Answer 6

@logynklode Sorry this is only way i could think of are the options correct

Answer 7

yeah. theyre correct.