Question : What is the value of $\left(\tan 10^{\circ} \tan 80^{\circ}+\tan 20^{\circ} \tan 70^{\circ}+\tan 30^{\circ} \tan 60^{\circ}+\tan 40^{\circ} \tan 50^{\circ}\right)$?
Option 1: 4
Option 2: 3
Option 3: 5
Option 4: 2
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: 4
Solution : Given: $(\tan 10^{\circ} \tan 80^{\circ}+\tan 20^{\circ} \tan 70^{\circ}+\tan 30^{\circ} \tan 60^{\circ}+\tan 40^{\circ} \tan 50^{\circ})$ $=\tan 10^{\circ} \tan (90^{\circ}-10^{\circ})+\tan 20^{\circ} \tan (90^{\circ}-20^{\circ})+\tan 30^{\circ} \tan (90^{\circ}-30^{\circ})+\tan 40^{\circ} \tan (90^{\circ}-40^{\circ})$ $=\tan 10^{\circ} \cot 10^{\circ}+\tan 20^{\circ} \cot 20^{\circ}+\tan 30^{\circ} \cot 30^{\circ}+\tan 40^{\circ} \cot 40^{\circ}$ $=1+1+1+1$ $=4$ Hence, the correct answer is 4.
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 $\mathrm{A}=\cot 30^{\circ} \tan 60^{\circ}+\cot 60^{\circ} \tan 30^{\circ}$, then what is the value of A?
Question : If $\frac{x-x\tan^{2}30^{\circ}}{1+\tan^{2}30^{\circ}}=\sin^{2}30^{\circ}+4\cot^{2}45^{\circ}-\sec^{2}60^{\circ}$, then value of $x$ is:
Question : If $\tan(5\theta-10^\circ)=\cot(5\varphi+20^\circ)$, then the value of $(\theta+\varphi)$ is:
Question : If $\cot 2 {A}=\tan \left({A}-48^{\circ}\right)$, then what is the value of $A$?
Question : The value of the following is: $\frac{\left (\tan20^{\circ} \right )^{2}}{\left (\operatorname{cosec70^{\circ}} \right )^{2}}+\frac{\left (\cot20^{\circ} \right )^{2}}{\left (\sec70^{\circ} \right )^{2}}+2\tan15^{\circ} \tan45^{\circ} \tan75^{\circ}$
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile