Time remaining:
-cos2x/(sinx-cosx)^2

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

I need assistance in what identities I am able to utilize in order to resolve or simplify the double angle identity. I have tried converting the cos2x in all its three forms in order to simplify, however, nothing seems to function.

Apr 14th, 2015

Use the cosine of double argument formula cos 2x = cos2x – sin2x and factor it by using the difference of squares formula cos 2x = cos2x – sin2x = (cos x – sinx)(cos x + sinx).

Then – cos2x / (sin x – cos x)2 = (sin x – cosx)(sin x + cosx) / (sin x – cos x)2 =

(sin x + cosx) / (sin x – cos x).  

If necessary, continue by dividing both the numerator and denominator by cos x

(tan x + 1) / (tan x - 1) =                          note that  tan(π/4) = 1

- (tan x +  tan(π/4)) / (1 - tan x * tan(π/4) ) =                               use the tangent of the sum formula

- tan(x + π/4) 

Apr 14th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Apr 14th, 2015
...
Apr 14th, 2015
Jun 24th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer