If `sin (2alpha - beta) = 1`, cos (α +β ) =1/2` where α and β are positive acute angles, then Find α and β

If sin (B + C-A)= 1, cos(C+ A- B)=1,.tan (A+ B - C)= 1 and if A,B,Care positive and acute angles, find A,B,C.

If sin 3 theta = cos (theta- 26°) where 3 theta and (theta -26°) are acute angles. Find the value of theta.

If cos alpha=13/14 and cos beta=1/7 where alpha and beta are acute angles,show that alpha-beta=pi/3 .

If tan2A=cot(A-21^@) where 2A is an acute angle then angleA=?.

If sin A=3/5 , sin B=12/13 and sin C=7/25 where A,B,C are acute angles, find the value of sin (A + B + C).

If tan2A=cot(A-18^@) where 2A is an acute angle,find the value of A.

If theta be positive acute angle sin3 theta=cos(2theta+15) ,find the value of theta .

If theta is positive and acute, solve: costheta+sqrt3sin theta=2

If sqrt2sin (60^@ -alpha)= 1 , then alpha is :