Home
Class 10
MATHS
If sin(A-B)=(1)/(2) and cos(A+B)=(1)/(2)...

If `sin(A-B)=(1)/(2)` and `cos(A+B)=(1)/(2)`, `0^(@) lt (A+B) lt 90^(@)` and `A gt B` then find `A` and `B`.

Text Solution

Verified by Experts

The correct Answer is:
` A = 45^@, B = 15^@`
Promotional Banner

Topper's Solved these Questions

  • MBD NEW STYLE MODEL TEST PAPER -1

    MBD -HARYANA BOARD|Exercise SET - A (SECTION - C)|5 Videos
  • MBD NEW STYLE MODEL TEST PAPER -1

    MBD -HARYANA BOARD|Exercise SET - A (SECTION - D)|4 Videos
  • MBD NEW STYLE MODEL TEST PAPER -1

    MBD -HARYANA BOARD|Exercise SET - D (SECTION - D)|4 Videos
  • INTRODUCTION TO TRIGONOMETRY

    MBD -HARYANA BOARD|Exercise LONG SHORT ANSWER TYPE QUESTIONS|8 Videos
  • MBD NEW STYPE MODEL TEST PAPER - 2

    MBD -HARYANA BOARD|Exercise SET - D (SECTION - D)|6 Videos

Similar Questions

Explore conceptually related problems

If sin(A+B)=1 and cos(A-B)=1 , 0^(@) le (A+B) le 90^(@) and A gt B then find A and B .

If sin(A-B)=(1)/(2),cos(A+B)=(1)/(2)0^(@) B, find A and B

If sin(A-B)=1/2 and cos(A+B)=1/2,0^(^^)Q B, then find A and B

If sin(A-B)=1/2 and cos(A+B)=1/2 , find A and B.

If tan(A+B)=sqrt(3) and tan(A-B)=1 , 0^(@) lt A+B lt 90^(@) and A gt B , find the values of A and B .

If sin (A - B) = 0 , cos (A + B) = 0, 0^(@) lt A + B le 90^(@) , find A and B.

If tan(A+B)=sqrt3 and tan(A-B)=(1)/(sqrt3),0^(@)lt A+Ble90^(@), A gt B , then find the value of A and B.

If tanA = 1(0^(@) lt A lt 90^(@)) and cos B = 1/sqrt(2) (0^(@) lt B lt 90^(@)) , then find cos(A + B)

If tan (A+B) =1 and tan (A-B)= (1)/sqrt(3),0^(@)lt A+B lt 90^(@), then the value of sin (3A-7B) is :