Question

Please Help! I am so confused..
Find sin θ if cot θ = - 2 and cos θ < 0.

Answer 1

make a diagram and utilize it

can you find the length of hypotenuse (h), first ?

Answer 2

h= sqrt(5)

Answer 3

yup, correct. and we knowed that sin = opposite/hypotenuse
sin θ = 1/sqrt(5)

does that make sense ?

Answer 4

Kinda.. But that isn't one of the answer choices

Answer 5

a.) -1/2
b.) -5
c.) sqrt(5)/2
d.) sqrt(5)/5

Answer 6

it can be simplied again, multiply by sqrt(5)/sqrt(5).
so, 1/sqrt(5) * sqrt(5)/sqrt(5) = sqrt(5)/5

Answer 7

Oh okay since there can't be a radical in the denominator! Thank you so much!

Answer 8

yup. welcome

Answer 9

any else ?

Answer 10

Yeah one more

Factor the algebraic expression below in terms of a single trigonometric function.

csc 2x - 1