Trigonometryhard · Past Paper
The value of tan 20 + tan 40 + sqrt(3) tan 20 tan 40 is:
Asqrt(3)
B1
C1/sqrt(3)
D0
✓ Correct Answer: A — sqrt(3)
From tan(20+40) = (tan 20 + tan 40)/(1 - tan 20 tan 40) = sqrt(3). Rearranging gives the result.
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