If \(2 \cos \theta=\sqrt{3}\), then what is the value of \(\tan 2 \theta\)?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(\sqrt{3}\)
Find the angle from the standard value of cosine, then double it.
\(\displaystyle \cos\theta=\frac{\sqrt3}{2}\), the cosine of 30°, so \(\theta=30^\circ\)
Double the angle: \(2\theta=60^\circ\)
Standard value: \(\tan60^\circ=\sqrt3\)