107 Views

In a triangle if 3 sinp + cosq=6 and 4sinq + 3cosp= 1 then the angle r is equal to


Mallikarjun Yadawad 6th Jul, 2019
Answer (1)
Yash Vardhan Singh 9th Jul, 2019

Hello Mallikarjun,

square both the equations and add both them.

u will get 25+ 24(sinpcosq+cospsinq)=37

              24(sin(p+q))=12

                 sin(p+q)=0.5

    hence, p+q=30 or 150

if p+q=30,

then sin p

3sin p+4cosq

which is incorrect according to the given question

hence p+q=150

and r=30 DEGREES.

Hope this helps.

Good luck!!

Related Questions

UPES B.Tech Admissions 2026
Apply
Ranked #43 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements
UPES Integrated LLB Admission...
Apply
Ranked #18 amongst Institutions in India by NIRF | Ranked #1 in India for Academic Reputation by QS Rankings | 16 LPA Highest CTC
Presidency University MBA Adm...
Apply
NAAC A+ Accredited | Highest CTC 10 LPA | Top Recruiters : Amazon, Accenture, KPMG, EY, Capgemini & many more
Nirma University Law Admissio...
Apply
Grade 'A+' accredited by NAAC | Ranked 33rd by NIRF 2025
UPES M.Tech Admissions 2026
Apply
Ranked #45 Among Universities in India by NIRF | 1950+ Students Placed 91% Placement, 800+ Recruiters
UPES | BBA Admissions 2026
Apply
#36 in NIRF, NAAC ‘A’ Grade | 100% Placement, up to 30% meritorious scholarships
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books