Question

tan³A-cot³A/tanA- cotA= sec²A + cot²A​

Answer 1

Question ⍟

tan³A-cot³A/tanA- cotA= sec²A + cot²A

Answer ⍟

Given✪

tanA + cotA = 2

To find: tan2A- cot2A

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

                                = 0   (Ans.)

Hence , The answer is 0.

Step-by-step explanation:

Hope it helps you ✌️

Answer 2

Answer:

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