find the exact value of [sec(-30 degrees)- cot 120 degrees]/1-cosec^2(45 degrees)

Question

Find the exact value of [sin^2(355 degrees) + cos^2 (355 degrees)]/ tan^2 (30 degrees)

Answer 1

sin^2 + cos^2 = 1, so you have

1/tan^2(30) = 1/3

for the other, plug in the values. recall that 1-csc^2 = -cot^2, so the bottom is just -1