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.
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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.