If L = sin 2 π 16 - sin 2 π 8 and M = cos 2 π 16 - sin 2 π 8

If L=sin2π16-sin2π8 and M=cos2π16-sin2π8

  1. L=-122+12cosπ8
  2. L=142-14cosπ8
  3. M=142+14cosπ8
  4. M=122+12cosπ8

Solution

L=sinπ16+π8sinπ16-π8
=sin3π16·sin-π16

=12cos3π16+π16-cos3π16-π16=1212-cosπ8
M=cosπ16+π8cosπ16-π8

=cos3π16·cos-π16
=12cos3π16+π16+cos3π16-π16=1212+cosπ8

Asked in: JEE Main 2020 (05 Sep Shift 2)

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