Question

Please help me out with this question. cotx sec^4x= cotx + 2tanx + tan ^3x. I have to start from the left side though.

Answer 1

This requires a lot of steps. I can post a computer solution if you wish.

Answer 2

Yes please, if you don't mind.

Answer 3

Whoah, I'm not sure if I understand the solution itself but I'll try to figure it out. Thank you.

Answer 4

yep

Answer 5

This should be more clear:

Answer 6

The thing is that I can't really touch the right side of the equation. The question is asking me to verify the right side by substituting identities on the left side.

Answer 7

I know how to do it. But I don't feel like writing out all the steps myself.

Answer 8

Ahah that's alright.

Answer 9

And it's a lot simpler than the two solutions that i've posted.

Answer 10

why not start this way

cot(x) = cos(x)/sin(x)

and

sec^4(x) = 1/cos^4(x)

so you have

cos(x)/sin(x) * 1/cos^4(x) = 1/(sin(x)cos^3(x)

Answer 11

Yes, alright. Got it. Thank you!