Factorthen use fundamental identities to simplify the expression below and determine which of the following is not equivalent cot^2 a * tan^2 a + cot^2 a A. csc^ 2 alpha B.1/ sin^ 2 alpha C.1/ 1-cos^ 2 alpha D.sec^ 2 alpha E.1+cot^ 2 alpha

Answer 1

cot^2 a * tan^2 a + cot^2 a

cot²a(tan²a+1)
Recall that

Tan²a+1=1/cos²a
1/sin²a=cosec²a
So
(Cos²a/sin²a)/cos²a

1/sin²a=cosec²a