Question

PLEASE HELP ME!!
Substitute identities to make each side of the equation match. cot x sec4x = cot x + 2 tan x + tan3x
the numbers in front of the X's are exponents

Answer 1

One sec pls c:

Answer 2

THANK YOU SO MUCH!!!

Answer 3

Let me explain the work c:
We know that sec^2x=1+tan^2x due to the reciprocal properties

We can put that it for sec^4x so now we have
cotx(1+tan^2x)^2 or
cotx (1+tan^2x)(1+tan^2x)

We distribute
That leaves us with
cotx+cotxtan^2x(1+tan^2x)

Now we foil and simplify.
cotx+cotxtan^2x+cotxtna^2x+cotxtan^4x
cotx+2cotxtanx+cotxtan^4x

In the place of cot in b and c we put 1/tanx
cotx+2(tan^2x/tanx)+(tan^4x/tanx)

This finally simplifies to
cotx+ 2tanx+tan^3x

Answer 4

No probs c;

Answer 5

:D