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Question

Prove that :
sin35sin55cos35cos55=0

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Solution

L.H.S. = sin35sin55cos35cos55

L.H.S. = sin(9055)sin(9035)cos35cos55

L.H.S. = cos55cos35cos35cos55 [sin(90θ)=cosθ]

L.H.S. = 0 = R.H.S.
Hence proof

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