I know that it’s in Quadrant II and I know to change cotx to cosx/sin x and set it to equal to -2. What do I do next? How will I know what negative number cos is in order to solve this problem?
Could you please show me the steps to solve this problem? Please leave the answer in fraction form.
csc²(θ) = cot²(θ) + 1
csc²(θ) = (-2)² + 1
csc²(θ) = 5
sin²(θ) = 1/5
sin(θ) = √(5)/5 … It is positive, because, as you say, θ is in the second quadrant.