Question

Prove csc^2(theta) + cot^2 (theta) = 2csc^2(theta)-1

Answer 1

cot^2(theta) = csc^2(theta)-1

csc^2(theta) + csc^2(theta) - 1 = 2csc^2(theta) - 1

Answer 2

how did you go from cot^2 to csc^2 + csc^2 -1 in the next step

Answer 3

The trig identity is cot^2(theta)+1 = csc^2(theta). I just switched that around for the first step.

Answer 4

but it's just cot not cot +1

Answer 5

csc^2 + cot^2 = 2csc^2 - 1
csc^2 + (csc^2-1) = 2csc^2-1
csc^2 + csc^2 -1 = 2csc^2-1

Answer 6

ooooo ok thank you :D

Answer 7

sorry about that