Mathematics › Trigonometric Functions › Sum and Difference & Multiple angle Formula
If L=sin2π16-sin2π8 and M=cos2π16-sin2π8
L=sinπ16+π8sinπ16-π8=sin3π16·sin-π16
=12cos3π16+π16-cos3π16-π16=1212-cosπ8M=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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