Find the value of \sin 12^\circ\sin 48^\circ\sin 54^\circ :

NIMCET 2020 Question Paper with solutions

Question : 40 of 120

Marks: +1, -0

Find the value of

\sin 12°\sin 48°\sin 54°

Solution:

\sin 12°\sin 48°\sin 54°

=1/2[(2\sin12°\sin48°)\sin54°]

=1/2[[\cos36°-\cos60°]\sin54°]

=1/2[{√5-1}/4-1/2]\sin54°

=1/2[{√5+1}/4][{√5+1}/4]

=1/2 . 1/4 . 1/4 . 4=1/8

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