Question : The value of $\frac{\operatorname{sin} 58^{\circ}}{\cos 32^{\circ}}+\frac{\sin 55^{\circ} \sec 35^{\circ}}{\tan 5^{\circ} \tan 45^{\circ} \tan 85^{\circ}}$ is equal to:
Option 1: 2
Option 2: 1
Option 3: 0
Option 4: 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: 2
Solution : Given: $\frac{\operatorname{sin} 58^{\circ}}{\cos 32^{\circ}}+\frac{\sin 55^{\circ} \sec 35^{\circ}}{\tan 5^{\circ} \tan 45^{\circ} \tan 85^{\circ}}$ $=\frac{\operatorname{sin} 58^{\circ}}{\cos (90^{\circ}-58^{\circ})}+\frac{\sin 55^{\circ} \cot 5^{\circ}}{\cos 35^{\circ} \tan 45^{\circ} \tan 85^{\circ}}$ $=\frac{\operatorname{sin} 58^{\circ}}{\operatorname{sin} 58^{\circ}}+\frac{\sin 55^{\circ} \cot (90^{\circ}-85^{\circ})}{\cos (90^{\circ}-55^{\circ}) \tan 45^{\circ} \tan 85^{\circ}}$ $= 1+\frac{\sin 55^{\circ} \tan 85^{\circ}}{\sin 55^{\circ} \tan 45^{\circ} \tan 85^{\circ}}$ $=1+\frac{1}{ \tan 45^{\circ}}$ $= 1+1$ $=2$ Hence, the correct answer is 2.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : The value of $\frac{\sec 54^{\circ}}{\operatorname{cosec} 36^{\circ}}+\frac{\tan 70^{\circ}}{\cot 20^{\circ}}-2 \tan 45^{\circ}$ is equal to:
Question : Simplify the given expression: $\frac{\sin^2 32^{\circ}+\sin^2 58^{\circ}}{\cos^2 32^{\circ}+\cos^2 58^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \sin 37^{\circ}$
Question : What is the value of $\frac{3 \operatorname{cosec} 42°}{\sec 48°}-\frac{5 \cos 32°}{\sin 58°}$?
Question : Find the value of $\cos 0^{\circ}+\cos 30^{\circ}-\tan 45^{\circ}+\operatorname{cosec} 60^{\circ}+\cot 90^{\circ}$.
Question : The value of $\frac{\sin 25^{\circ}\cos 65^{\circ}+\cos 25^{\circ}\sin 65^{\circ}}{\tan ^{2}70^{\circ}-cosec^{2}20^{\circ}}$ is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile