Trigonometryhard · Past Paper
Find the value of tan 6 tan 42 tan 66 tan 78.
A1
B0
C1/2
D2
✓ Correct Answer: A — 1
Grouping tan 6 tan 66 and tan 42 tan 78 using tan(theta)tan(60-theta)tan(60+theta) = tan(3theta) reduces this to 1.
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