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

If ` sin (A-B) =(1)/(2) ,cos (A+B) =(1)/(2) ,`where `0^(@) angle A +B le 90 ^(@) and A gt B ` find A and B

Text Solution

Verified by Experts

The correct Answer is:
`A= 45^(@) and B= 15^(@) `
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    NCERT KANNAD|Exercise Do THIS|7 Videos

  • TRIGONOMETRY

    NCERT KANNAD|Exercise TRY THIS|7 Videos

  • TANGENTS AND SECANTS TO A CIRCLE

    NCERT KANNAD|Exercise Try this|3 Videos

Similar Questions

Explore conceptually related problems

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

If tan ( A + B ) = sqrt 3 and tan ( A - B ) = ( 1)/(sqrt 3 ) : 0 ^@ lt A + B le 90^@ , A gt B find A and B

If sin (A+B)=1 and cos (A-B) = (sqrt(3))/(2) , find A and B.

In sin (A+B) =(sqrt(3))/(2) and cos (A-B)=1, 0 lt A +B lt 90^@ , A ge B.

In sin(A+B)=sqrt(3)/2 and cos(A-B)=1, 0 lt A + B lt 90^(@), A ge B .

If (1+ sin6^(@))/( cos 6^(@))=tan A =sqrt((1+ sinB)/(1- sin B)), where A and B in (0,90^(@)) , then

Ovserve the above table What can you say about the values of sin A and cos A ,as the value of angle A increases from 0^(@) "to" 90 ^(@) ? If A ge B then sin ge sin B , Is the true? If A ge B , then cos A ge cos B , Is it true ? Discuss.

sin(A+B)=sinA cos B +cos A sin B

If sin A = sin B, cos A = cos B, then the value of A in terms of B is

cos (A+B).cos(A-B)=cos^(2)A-sin^(2)B