Question : Evaluate the expression: $\frac{\sin ^2 63^{\circ}+\sin ^2 27^{\circ}}{\cos ^2 17^{\circ}+\cos ^2 73^{\circ}}$
Option 1: 0
Option 2: 3
Option 3: 1
Option 4: 2
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 1
Solution : $\frac{\sin ^2 63^{\circ}+\sin ^2 27^{\circ}}{\cos ^2 17^{\circ}+\cos ^2 73^{\circ}}$ = $\frac{\sin ^2 63^{\circ}+\sin ^2 (90^{\circ}-63^{\circ})}{\cos ^2 17^{\circ}+\cos ^2 (90^{\circ}-17^{\circ})}$ = $\frac{\sin ^2 63^{\circ}+\cos ^2 63^{\circ}}{\cos ^2 17^{\circ}+\sin ^2 17^{\circ}}$ = $\frac{1}{1}$ = 1 Hence, the correct answer is 1.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : What will be the value of $\frac{\sin 30^{\circ} \sin 40^{\circ} \sin 50^{\circ} \sin 60^{\circ}}{\cos 30^{\circ} \cos 40^{\circ} \cos 50^{\circ} \cos 60^{\circ}}$?
Question : Evaluate the following. $\sin 25^{\circ} \sin 65^{\circ}-\cos 25^{\circ} \cos 65^{\circ}$.
Question : Find the value of $\frac{\cos^2 15^{\circ}-\sin^2 15^{\circ}}{\cos^2 145^{\circ}+\sin^2 145^{\circ}}$.
Question : $\sin 600^\circ \cos 750^\circ+\sin 150^\circ \cos 240^\circ=?$
Question : $\frac{\cos 20^{\circ}}{\sin 70^{\circ}}+\frac{\cos \theta}{\sin \left(90^{\circ}-\theta\right)}=$_________,
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile