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

Question

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

raden · Answer

make a diagram and utilize it 
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can you find the length of hypotenuse (h), first ?

anonymous · Answer

h= sqrt(5)

raden · Answer

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

anonymous · Answer

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

anonymous · Answer

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

raden · Answer

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

anonymous · Answer

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

raden · Answer

yup. welcome

raden · Answer

any else ?

anonymous · Answer

Yeah one more

Factor the algebraic expression below in terms of a single trigonometric function.

csc 2x - 1

raden · Answer

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