Question

Find sin θ if cot θ = - 4 and cos θ <0

Answer 1

the angle will be in the 2nd quadrant where both cot and cos are negative

Answer 2

so can you find sin theta?

Answer 3

sin theta = opposite / hypotenuse

opposite = 1, and hypotenuse can be found by pythagoras theorem

Answer 4

do you know pythagoras theorem?

Answer 5

r u there?

Answer 6

yeah sorry

Answer 7

-4/1 right?

Answer 8

you can find length of hypotenuse ( longest side in right-angled triangle) using pythagoras
here we have

x^2 = (1)^2 + (-4)^2
where x = hypotenuse

Answer 9

no you need to find x first
sin theta = 1 / x