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the value of tan(A/2)[(1+secA)(1+sec2A)(1+sec4A)(1+sec8A)......(1+sec2 n A)] is

the value of tan(A/2)[(1+secA)(1+sec2A)(1+sec4A)(1+sec8A)......(1+sec2nA)] is

Grade:12th pass

1 Answers

Gowtham
40 Points
3 years ago
convert tan(A/2) into sin/cos form
1+secA=2cos2(A/2)/cosA
1+sec2A=2cos(A)/cos2A
.
.
.
and 2Sin(A/2)cos(A/2) becomes sinA
and convert all into same form simplify it you will get
the final answer as Tan2nA

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