It is zero.
sin x can have any value between -1 and 1; therefore, 3 sin x has three times this range (from -3 to 3).
This is the graph of a diagnol line. Range: (-infinity, infinity)
A*sin(x) + cos(x) = 1B*sin(x) - cos(x) = 1Add the two equations: A*sin(x) + B*sin(x) = 2(A+B)*sin(x) = 2sin(x) = 2/(A+B)x = arcsin{2/(A+B)}That is the main solution. There may be others: depending on the range for x.
The multiplication by 3 increases the magnitude, and the + 3 shifts the graph upward to be "centred" at y = 3. The graph now oscillates between 6 and 0 (3 + 3, 3 - 3).
The range of -sin x depends on the domain of x. If the domain of x is unrestricted then the range of y is [-1, 1].
It is zero.
sin x can have any value between -1 and 1; therefore, 3 sin x has three times this range (from -3 to 3).
This is the graph of a diagnol line. Range: (-infinity, infinity)
Assuming a large enough domain, the range is -1 to 1.
You could try y = 1/sin(x) but I do not see how that helps.
A*sin(x) + cos(x) = 1B*sin(x) - cos(x) = 1Add the two equations: A*sin(x) + B*sin(x) = 2(A+B)*sin(x) = 2sin(x) = 2/(A+B)x = arcsin{2/(A+B)}That is the main solution. There may be others: depending on the range for x.
The multiplication by 3 increases the magnitude, and the + 3 shifts the graph upward to be "centred" at y = 3. The graph now oscillates between 6 and 0 (3 + 3, 3 - 3).
No.-1
The derivative of cos(x) equals -sin(x); therefore, the anti-derivative of -sin(x) equals cos(x).
x = (2n+1)*pi/2 radians for any integer n.
range of y=sin(2x) is [-1;1] and in generally when is y=sin(k*x) (k=....-1,0,1....) range is always [-1;1] and the period is w=(2pi)/k