JEE Advance - Mathematics (1982 - No. 12)
Without using tables, prove that $$\left( {\sin \,{{12}^ \circ }} \right)\left( {\sin \,{{48}^ \circ }} \right)\left( {\sin \,{{54}^ \circ }} \right) = {1 \over 8}.$$
This statement is false.
Using trigonometric identities, we can show that (sin 12°)(sin 48°)(sin 54°) = 1/8 is correct
The value of the expression (sin 12°)(sin 48°)(sin 54°) is approximately 0.25.
We can use a calculator to determine the correctness of the expression
The given equation holds true because the angles 12, 48, and 54 are special angles.