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:
Option 1: –1
Option 2: 0
Option 3: 1
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: –1
Solution : $\frac{\sin 25^{\circ}\cos 65^{\circ}+\cos 25^{\circ}\sin 65^{\circ}}{\tan ^{2}70^{\circ}-\operatorname{cosec}^{2}20^{\circ}}$ $=\frac{\sin 25^{\circ}\sin 25^{\circ}+\cos 25^{\circ}\cos 25^{\circ}}{\tan ^{2}70^{\circ}-\operatorname{cosec}^{2}20^{\circ}}$ $= \frac{\sin^2 25^{\circ}+\cos^225^{\circ}}{\tan^{2}70^{\circ}-\sec^{2}70^{\circ}}$ $= \frac{1}{-(\sec^ {2}70^{\circ}-\tan^ {2}70^{\circ})}$ $= -1$ Hence, the correct answer is –1.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : Find the value of $\frac{\cos^{2}25^\circ-\sin^{2}65^\circ}{\cos^{2}25^\circ+\sin^{2}65^\circ}$
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:
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 : Find the value of $\sin 47^{\circ} \cos 33^{\circ} -\cos 43^{\circ} \sin 57^{\circ}$.
Question : Find the value of $\cos 0^{\circ}+\cos 30^{\circ}-\tan 45^{\circ}+\operatorname{cosec} 60^{\circ}+\cot 90^{\circ}$.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile