Question

If tanA+cotA=2,then what is the value of tan²A+cot²A.

Answer 1

Step-by-step explanation:

If tanA + cotA= 2 then tan²A - cot²A = ? =0 (Ans.) Answer: TanA +CotA=

Answer 2

$\huge\underline\red{Solution:-}$

   Given: tanA + cotA = 2

 

To find: tan2A- cot2A

____________________

$\huge\bf{Sol:- }$  (tanA - cotA)2 =(tanA + cotA)2 - 4tanAcotA

                 = 4 - 4

 (tanA - cotA)2 = 0

     tanA - cotA = 0

=> tan2A - cot2A = (tanA + cotA) (tanA - cotA)

                             = 2 X 0

                          $\huge\fbox\red{ =0 (Ans)}$

__________________________