Establish the identity CSC 2 01 cot 2 Which of the followin

Establish the identity CSC 2 (-0)-1 = cot 2 Which of the following four statements establishes the identity? A. O B. OC. csc 2(-0)-1 =-csc 2(-0) + 1 = csc 26-1 = cot 20 csc 2(-0)-1-(-csc )2-1 =csc 2 -1 = cot 2 csc 2(-0)_1=1+(-cot 0)2-1 + cot 26-cot 2 CSC -1 = CSC CSC + Co Click to select your answer.

Solution

Cosec^2(x)-cot^2(x)=1

cosec(-x)=-cosecx

cosec^2(-x)=(-cosecx)^2=cosec^2(x)

cosec^2(-x)-1=cot^2(x)

so option A establishes trigonometry identity.