e 10. Prove that : cos 6º cos 42° cos 66° cos 78°
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In this question
cos6×cos42×cos66×cos78 = 1/16
Let, R.H.S
cos6×cos42×cos66×cos78
Multiple and divided by 2
1/2×(2cos42×cos78)×cos6×cos66
1/2×(cos120+cos36)×cos6×cos66
1/2 ×(−sin30 +cos36)×cos6×cos66
1/2×-1/2+√5+1/4 )×cos6×cos66
Again multiple and divided by 2
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