(cot x + tan x) ^2 equals?
2 Answers
Feb 11, 2018
The answer is
Explanation:
Here are the identities I used:
(1)
(2)
Here's the problem:
Now, using identity (1),
And now, identity (2),
That's as far as I could simplify it.
Feb 11, 2018
We can rewrite as
Explanation:
Alternatively, rewrite in sine and cosine:
#(cosx/sinx + sinx/cosx)^2#
#((cos^2x + sin^2x)/(sinxcosx))^2#
Recall that
#(1/(sinxcosx))^2#
#1/(sin^2xcos^2x)#
We know that
#1/(1/4sin^2(2x))#
#4csc^2(2x)#
Hopefully this helps!