tan A + 2 tan 2A + 4 tan 4A + 8 cot 8A =
(A) Cot A
(B) tan 6A
(C) cot 4A
(D) None of these
Answers
Answered by
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Answer:
Correct option (A) cot A
Answered by
0
Answer:
(a)cotA
Step-by-step explanation:
tanA+2tan2A+4tan4A+8cot8A=
tanA+2tan2A+4tan4A+8(cot²4A-1/2cot4A)
tanA+2tanA+4tan4A+(8cot²4A/2cot4A)-(8/2cot4A)
tanA+2tan2A+4tan4A+4cot4A-4tan4A
tanA+2tan2A+4cot4A
tanA+2tan2A+4(cot²2A-1/2cot2A)
tanA+2tan2A+(4cot²2A/2cot2A)-4/2cot2A
tanA+2tan2A+2cot2A-2tan2A
tanA+2cot2A
tanA+2(cot²A-1/2cotA)
tanA+(2cot²A/2cotA)-2/2cotA
tanA+cotA-tanA
cotA
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