You look at it, and think about it, and say to yourself:
"The period of sin(x) is (2 pi) or 360 degrees.
Multiplying it by a number makes it bigger or
smaller, but doesn't change its period."
The most important part of finding out the answer is to look at the question
and think about it. In fact, in school, that's the whole purpose of the question.
Nobody needs the answer. And if they did, they would not ask somebody who's
just learning how to find it. They give you the question to look at and think about,
so that you can use it to teach yourself how to look and think.
the period is 2pi. period is 2pi/b and the formula is y=AsinBx.
sin x can have any value between -1 and 1; therefore, 3 sin x has three times this range (from -3 to 3).
sin(3A) = sin(2A + A) = sin(2A)*cos(A) + cos(2A)*sin(A)= sin(A+A)*cos(A) + cos(A+A)*sin(A) = 2*sin(A)*cos(A)*cos(A) + {cos^2(A) - sin^2(A)}*sin(A) = 2*sin(A)*cos^2(A) + sin(a)*cos^2(A) - sin^3(A) = 3*sin(A)*cos^2(A) - sin^3(A)
The answer to the math question Cos 5t cos 3t -square root 3 2 - sin 5t cos 3t equals 0. In order to find this answer you will have to find out what each letter is.
The period of sin + cos is 2*pi radians (360 degrees) so the period of sin(3x) + cos(3x) is 2*pi/3 radians.
2
the period is 2pi. period is 2pi/b and the formula is y=AsinBx.
y = -1 + 3 sin 4xLet's look at the equation of y = 3 sin 4x, which is of the form y = A sin Bx, wherethe amplitude = |A|, and the period = (2pi)/B.So that the amplitude of the graph of y = 3 sin 4x is |3| = 3, which tell us that the maximum value of y is 3 and the minimum value is -3, and the period is (2pi)/4 = pi/2, which tell us that each cycle is completed in pi/2 radians.The graph of y = -1 + 3 sin 4x has the same amplitude and period as y = 3 sin 4x, and translates the graph of y = 3 sin 4x one unit down, so that the maximum value of y becomes 2 and the minimum value becomes -4.
y=3 cos(x) y' = -3 sin(x)
Two thirds pi, or rather 2pi/3.
y = 3 sin x The period of this function is 2 pi.
Sin[x] = Cos[x] + (1/3)
2 sin(x) - 3 = 0 2 sin(x) = 3 sin(x) = 1.5 No solution. The maximum value of the sine function is 1.0 .
1.5
y=2 sin(3x) dy/dx = 2 cos(3x) (3) dy/dx = 6 cos(3x)
sin x can have any value between -1 and 1; therefore, 3 sin x has three times this range (from -3 to 3).
sin(3A) = sin(2A + A) = sin(2A)*cos(A) + cos(2A)*sin(A)= sin(A+A)*cos(A) + cos(A+A)*sin(A) = 2*sin(A)*cos(A)*cos(A) + {cos^2(A) - sin^2(A)}*sin(A) = 2*sin(A)*cos^2(A) + sin(a)*cos^2(A) - sin^3(A) = 3*sin(A)*cos^2(A) - sin^3(A)