Prove that cos2 9x – cos2 11x = sin 20x . sin 2x
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Step-by-step explanation:
LHS=
sin17x−sin3x
cos9x−cos5x
=
2cos(
2
17x+3x
)sin(
2
17x−3x
)
−2sin(
2
9x+5x
)sin(
2
9x−5x
)
=−
cos10xsin7x
sin7xsin2x
=−
cos10x
sin2x
=RHS
Hence proved
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