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 GUJARATI|Exercise Do THIS|8 Videos
  • TRIGONOMETRY

    NCERT GUJARATI|Exercise TRY THIS|8 Videos
  • TANGENTS AND SECANTS TO A CIRCLE

    NCERT GUJARATI|Exercise Try this|2 Videos

Similar Questions

Explore conceptually related problems

If sin(A-B)=1/2,cos(A+B)=1/2,0^(@)ltA+Ble90^(@),AgtB , find A and B.

If tan (A+ B)= sqrt3 and tan (A-B) =1/(sqrt3):0^(@)ltA+Blt90^(@),AgtB , find A and B.

If sinA=(4)/(5)andcosB=(5)/(13) , where 0ltA,Blt(pi)/(2) then find (i) sin(A+B) (ii) cos(A-B) .

Let A and B be two sets such that n(A) =3 and n(B) =2. If (x, 1), (y, 2), (z,1) are in A xx B, find A and B, where x, y and z are distinct elements.

Find acute angles A and B if sin (A+ 2B) = (sqrt3)/2 and cos (A+ 4B) = 0, A gt B, 0° ltA+ 2B le90°, 0° ltA+ 4B le90° .

A(1,7), B(2,4) and C(k,5) are the vertices of a right triangle . Find k (1) if angle A = 90^(@) (2) if angle B = 90^(@) and (3) if angle C = 90^(@)

If sin A =cos B , then prove that A+B =90 ^(@)

In a triangle ABC, sin A- cos B = Cos C , then angle B is

If y= a sin x + b cos x then, y^(2) + (y_(1))^(2) = ……. (a^(2) + b^(2) ne 0)