Question

Simplify: (1+cos2x)/sin2x

Answer 1

is it cos^2(x) or cos(2x)

Answer 2

@elly394 Can you answer primer's question?

Answer 3

it is cos(2x)

Answer 4

@FutureMathProfessor , @bahrom7893

Answer 5

What is Cos(2a) ?

Answer 6

Okay, I guess I'll answer it:
Cos(2a) = Cos(a+a) = Cos(a)Cos(a) - Sin(a)Sin(a) = Cos^2(a) - Sin^2(a)

Answer 7

Ohh!! nevermind. i did cos^(2) x -sin^(2) x

Answer 8

We also know that 1 = Sin^2(a) + Cos^2(a), so top becomes:

Sin^2(a) + Cos^2(a) + Cos^2(a) - Sin^2(a) = 2Cos^2(a)

Answer 9

HAHAHA spoke too soon.

Answer 10

I mean it doesn't matter if you have x or a. I wonder how my xs somehow turned into as.

Answer 11

And on the bottom we have: Sin(2a) = 2Sina*Cosa

Answer 12

they didn't :P

Answer 13

ohh...soyou can cancel out a cos(a)

Answer 14

2Cos^2(a)/(2Sina*Cosa) = Cosa/Sina = Tanx

Answer 15

I mean cotangent x

Answer 16

and somewhere along the way my xs became as and then xs again.

Answer 17

yesss :D

(2cos^(2) (a)) / (2 sin(a) * cos(a)) = cos (a)/sin(a) = cot(a)