Q. 11

If sin (A + B) = cos (A – B) = , fins A and B.

Answer :

Given :

Sin(A+B) = sin (60 o)


On equating both the sides, we get


A + B = 60 o …(1)


And


cos(A B) = cos (30 o)


On equating both the sides, we get


A – B = 30 o …(2)


On Adding Eq. (1) and (2), we get


2A = 90 o


A = 45 o


Now, Putting the value of A in Eq.(1), we get


45 o + B =60 o


B = 15 o


Hence, A = 45 o and B = 15 o


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Trigonometric Identities33 mins
Trigonometric Identities33 mins
NCERT | Trigonometric Identities52 mins
Quiz | Task on Trigonometric Ratios46 mins
Algebraic Identities48 mins
Quiz on Trigonometric Ratios31 mins
Quiz | Practice Important Questions on Trigonometrical Identities46 mins
T- Ratios of Specified Angles58 mins
Trick to learn all Trigonometric Formulae28 mins
Testing the T- Ratios of Specified Angles57 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses