যদি cos x+ cosy = p এবং sinx + siny = q হয়, তবেtan"(x+y)/2=? 

Explanation:

Another Explanation (5): দেওয়া আছে, cos x + cos y = p 🤔 sin x + sin y = q 😊 আমরা জানি, cos C + cos D = 2 cos((C+D)/2) cos((C-D)/2) sin C + sin D = 2 sin((C+D)/2) cos((C-D)/2) অতএব, p = cos x + cos y = 2 cos((x+y)/2) cos((x-y)/2) 😮 q = sin x + sin y = 2 sin((x+y)/2) cos((x-y)/2) 😎 এখন, q/p = [2 sin((x+y)/2) cos((x-y)/2)] / [2 cos((x+y)/2) cos((x-y)/2)] 🤩 q/p = sin((x+y)/2) / cos((x+y)/2) 🤯 q/p = tan((x+y)/2) 🥳 সুতরাং, tan((x+y)/2) = q/p 🤓