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Value of (Cos A+ Cos B / Sin A- Sin B ) ^n + (Sin A + Sin B / CosA- Cos B ) ^n where n is odd

Value of (Cos A+ Cos B / Sin A- Sin B ) ^n +  (Sin A + Sin B / CosA- Cos B ) ^n where n is odd 

Grade:11

1 Answers

Arun
25750 Points
6 years ago
Dear Student
 
When you apply the formula of 
Cos C + cosD , cos C - cosD, sin c + sinD, sin C - sinD formula in every part
 
You get
 
Cot n(A-B)/2 + (-1)n cot n(A-B)/2
 
When n is odd then its value will be 0.
 
Regards
Arun (askIITians forum expert)

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