Question : If $\sin 2\theta=\frac{\sqrt{3}}{2}$, then what is the value of $\tan \theta$?
Option 1: $\frac{1}{2}$
Option 2: $1$
Option 3: $\frac{1}{ \sqrt{3}}$
Option 4: $\sqrt{3}$
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $\frac{1}{ \sqrt{3}}$
Solution : $\sin 2\theta = \frac{\sqrt{3}}{2}$ ⇒ $\sin 2\theta = \sin 60° $ ⇒ $2\theta = 60° $ ⇒ $\theta = 30° $ So, $\tan \theta = \tan 30° = \frac{1}{\sqrt{3}}$ Hence, the correct answer is $\frac{1}{\sqrt{3}}$.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : If $\tan\theta+\sec\theta=3$, $\theta$ being acute, the value of $5\sin\theta$ is:
Question : If $\sqrt{3} \tan ^2 \theta-4 \tan \theta+\sqrt{3}=0$, then what is the value of $\tan ^2 \theta+\cot ^2 \theta$?
Question : If $\tan \theta+\sin \theta=A$ and $\tan \theta-\sin \theta=B$, then what is the value of $A^2-B^2$?
Question : If $\tan \theta=\frac{8}{15}$, then the value of $\sqrt{\frac{1-\sin \theta}{1+\sin \theta}}$ is:
Question : If $\theta+\phi=\frac{\pi}{2}$ and $\sin\theta=\frac{1}{2}$, then the value of $\sin\phi$ is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile