Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent cot^2 a * tan^2 x + cot^2 a
factor it to get
cot^2 a (tan^2 x + 1) = cot^2 a * sec^2 x
Not sure what your choices are
A.csc^2 alpha B. 1/ sin^ 2 alpha. C. 1 /1-cos^ 2 alpha D. sec^ 2 alpha E. 1+cot^ 2 alpha
To factor the expression, cot^2 a * tan^2 x + cot^2 a, we can first notice that both terms have a common factor of cot^2 a. Factoring out cot^2 a, we get:
cot^2 a * (tan^2 x + 1)
Now, to simplify further using the fundamental identities, we can recall that tan^2 x + 1 is equal to sec^2 x. Substituting this into our expression, we get:
cot^2 a * sec^2 x
With this simplified expression, now we can determine which of the following is not equivalent. However, you have not provided the options for us to compare with the expression. Please provide the options so that we can determine which one is not equivalent.