Question

Factor the algebraic expression below in terms of a single trigonometric function.

csc 2x - 1

Answer 1

Is it
\[\csc ^{2}x-1\]

Answer 2

yes

Answer 3

does this equal -cot

Answer 4

1 + cot^2x = csc^2x right?

Answer 5

is the answer cot^2x

Answer 6

what's your doubt ?

Answer 7

The ans is
\[\cot ^{2}x\]

Answer 8

following straight from one of the three basic trigonometric identities :
\[\sin ^{2}x+\cos ^{2}x = 1\]
\[\sec ^{2}x-\tan^{2}x = 1\]
\[\csc^{2}x-\cot^{2}x = 1\]