prove that the following equation is an identity

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

(cos^2(x))(cot^2(x))=(cot^2(x))-(cos^2(x))

May 6th, 2015

Left side:  (cos^2 ) ( cot^2x)            

               = cos^2 x 1/tan^2 x

             = cos^2 x (cos^2x)  /sin^2x

Right side = cot^2 x - cos^2x

                = 1/tan^2 x - cos^2 x

               = cos^2x /sin^2 -cos^2x

               = cos^2x ( 1-sin^2x)

               = cos^2 x (cos^2x)/sin^2x

Now left side = right side that proves the given identity.

May 6th, 2015

Please note that in the step before the last, division by sin^x is left out , so please add that sin^2x.

May 6th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
May 6th, 2015
...
May 6th, 2015
Jun 25th, 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