Step-by-step explanation:
- sinx+sin(x+4x) =cot2x
- sinx+sinx cos4x+cosx sin4x=cot2x
sinx+sinx cos4x=sinx (1+cos4x) =
sinx (1-1+2(cos2x)^2) =2sinx (cos2x)^2
sin4x=2sin2xcos2x
2sinx(cos2x)^2+cosx+2sin2xcos2x=cot2x
2sinxcos2x(cos2x+2(cosx)^2)=cot2x
but 2(cosx)^2=cos2x+1
2sinxcos2x(cos2x+cos2x+1)=cos2x/sin2x
(2sinxsin2x)(2cos2x+1) =1
(4cosx(sinx)^2)(2cos2x+1) =1
17. The constant is the number that's by itself with no variable attached to it. Hope this helped!
Answer:
V = 115.5 cubic yards
Step-by-step explanation:
V (cone) = 1/3πr²h
just substitute given values to get:
r = 7/2 or 3.5
h = 9
V = π(3.5²)(9)/3
V = 115.5 cubic yards
50 =2×5×5
125=5×5×5
Hoghest common factor = 5×5
=25
