• 072920 77839
  • info@smartachievers.in
Menu
Back
  • JEE ADVANCE
  • JEE MAIN
  • NEET
  • BITSAT
  • CBSE BOARD
  • UP BOARD
  • CUET
JEE ADVANCE
  • CLASS XI - XII
  • CRASH COURSE
CRASH COURSE
JEE MAIN
  • CLASS XI - XII
  • CRASH COURSE
CRASH COURSE
NEET
  • CLASS XI - XII
  • CRASH COURSE
BITSAT
  • CLASS XI - XII
CBSE BOARD
  • CLASS IX
  • CLASS X
  • CLASS XI
  • CLASS XII
  • CLASS VI
  • CLASS VII
  • CLASS VIII
UP BOARD
  • CLASS IX
  • CLASS X
  • CLASS XI
  • CLASS XII
CUET
  • CRASH COURSE
Courses


Solution


Q.

If 2sin(A+B)=3 and cos(A-B)=1, then find the measures of angles A and B. 0≤A,B,(A+B)≤90°.

Ans.

(30o)

2sin(A+B)=3⇒sin(A+B)=32=sin60°

⇒A+B=60°   ....(i)

cos(A-B)=1=cos0°

⇒A-B=0°   ....(ii)

Adding (i) and (ii), we get A=B=30°