Question : If $\sin (p+q)=1$ and $\cos (p-q)=\frac{\sqrt{3}}{2}$, then find $p$.
Option 1: 90°
Option 2: 80°
Option 3: 60°
Option 4: 120°
New: SSC CHSL Tier 2 answer key released | 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
Correct Answer: 60°
Solution :
Given: $\sin (p+q)=1$ and $\cos (p-q)=\frac{\sqrt{3}}{2}$
$\sin (p+q)=\sin 90°$ and $\cos (p-q)=\cos 30°$
⇒ $(p+q)=90°$ ------------(1)
And $(p-q)=30°$ --------- (2)
Adding equations (1) and (2), we have,
⇒ $2p=120°$
⇒ $p=60°$
Hence, the correct answer is 60°.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
