Question

Find sin θ if cot θ = - 2 and cos θ < 0.
Answers in picture:

Answer 1

the hypotenuse is sqrt5

Answer 2

all you need is the hypotenuse, which you get via pythagoras in your head
two squared plus one squared is four plus one is 5

Answer 3

so answer is either \(\frac{1}{\sqrt5}\) or \(-\frac{1}{\sqrt5}\) depending on what quadrant you are in

Answer 4

but that not an answer i thought the smae

Answer 5

since cotangent is negative and cosine is negative, then sine is positive

Answer 6

i think that is the answer

Answer 7

negative one divided by two

- 5

square root of five divided by two

square root of five divided by five
these are the possible answers

Answer 8

@onaogh could you help?

Answer 9

@jdoe0001 can you help out so far satellite detrmined that the answer could be 1/sqrt5 or -1/sqrt5

Answer 10

but those aren't the answers

Answer 11

i dont think your question is correct. checked using calculator

\[ cot(\theta) = -2\]
find the angle:

\[ \theta = cot^{-1}(-2) = \frac{1}{tan^{-1}(-2)} = -0.90322 \space rad\]

now you got the angle.
cosine of the angle should be less than 0
\[ cos(-0.90322) =0.61908 \]

which does not satisfy the condition mentioned in the question

Answer 12

it's correct because it was copy pasted straight from it i ave a picture posted too