We are told that tanθ=1, and that 𝜃 is in Quadrant I. From this we know...

Question

sin?

cot?

csc?

is it one of these? and if so How?

Answer 1

If tan(theta)=1 and in Quadrant I, we can figure out sin, cot, and csc. The only theta value that makes tan(theta)=1 is pi/4, because sqrt2/2 divided by sqrt2/2 is = 1.

Then sin(pi/4) = sqrt2/2

cot(pi/4) = 1/tan(pi/4) = 1

csc(pi/4) = 1/sin(pi/4) = 1/(sqrt2/2) = sqrt2

Hope this helps. Let me know if you need more help!!