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AP EAMCET · Maths · Trigonometric Ratios & Identities

If cosπ4cosπ8cosπ16cosπ32=2mcosecπn then m+n=

  1. A 27
  2. B 25
  3. C 28
  4. D 29
Verified Solution

Answer & Solution

Correct Answer

(C) 28

Step-by-step Solution

Detailed explanation

cosπ4cosπ8cosπ16cosπ32=2mcosecπn LHS=12sinπ2n2cosπ2nsinπ2ncosπ2n-1..........cosπ4 12cosπ2n2sinπ2n-1cosπ2n-1cosπ2n-2..........cosπ4…