A geometry problem by Aakhyat Singh
Geometry
Level
pending
If 5sinA=3sin(A+2B) (not equal to 0) then tan(A+B) is equal to x*tanB. Find x
The answer is 4.
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1 solution
Let C=A+B then,
3 sin(C+B)=5sin(C-B)
3sinC cosB + 3 cosB sinC = 5 sinC cos B - 5 cosC sinB
so, 8 cosC sinB = 2 sinC cosB
4 tanB = tanC
x=4