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if cos x + cos y = 4/5, cosx – cos y = 2/7 then the value of 14 tan(x-y)/2 + 5 cot (x+y)/2 is

if cos x + cos y = 4/5, cosx – cos y = 2/7 then the value of 14 tan(x-y)/2 + 5 cot (x+y)/2  is

Grade:11

2 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
6 years ago
Hello student, Please find the answer to your question below

Use the following formulas to solve this questions
CosC + CosD = 2Cos[(C+D)/2]Cos[(C-D)/2]
CosC - CosD = 2Sin[(C+D)/2]Sin[(D-C)/2]

tan[(C+D)/2]tan[(C-D)/2]= 5 / 14
so14*tan[(C-D)/2]= 5* cot[(C+D)/2]

Now u can simplify:-
repalle kishore babu
16 Points
2 years ago
CosC + CosD = 2Cos[(C+D)/2]Cos[(C-D)/2] _1CosC - CosD = -2Sin[(C+D)/2]Sin[(C-D)/2]_2 
divide 2 by 1
tan[(C+D)/2]tan[(C-D)/2]= -5/14
14*tan[(C-D)/2]= -5* cot[(C+D)/2]

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