WebTrigonometry Graph y=2cos (1/3x) y = 2cos ( 1 3 x) y = 2 cos ( 1 3 x) Use the form acos(bx−c)+ d a cos ( b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. a = 2 a = 2 b = 1 3 b = 1 3 c = 0 c = 0 d = 0 d = 0 Find the amplitude a a . Amplitude: 2 2 Find the period of 2cos( x 3) 2 cos ( x 3). WebJun 3, 2016 · cos ( 3 x − x) = cos 3 x cos x + sin 3 x sin x cos ( 3 x + x) = cos 3 x cos x − sin 3 x sin x cos x cos 3 x = 1 2 cos 2 x + 1 2 cos 4 x cos x cos 3 x = 1 2 cos 2 x + 1 2 ( 2 cos 2 2 …
What is the fundamental period of 2 cos (3x)? Socratic
WebJul 10, 2024 · What is the period of y = − 4 cos(3x + π 2) + 2? Trigonometry 1 Answer Jim G. Jul 10, 2024 period = 2π 3 Explanation: the standard form of the cosine function is ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣ ∣ 2 2y = acos(bx +c) +d 2 2∣∣ ∣ −−−−−−−−−−−−−−−−−−−−−−− where amplitude = a , period = 2π b phase shift = − c b, … WebPopular Problems. Trigonometry. Graph y=cos (3x) y = cos (3x) y = cos ( 3 x) Use the form acos(bx−c)+ d a cos ( b x - c) + d to find the variables used to find the amplitude, period, … sugerysixpack ins
Cos 2 X Sin 2 X - BRAINGITH
WebUse the form acos(bx−c)+ d a cos ( b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude a a . Find the period of cos(3x) cos ( 3 x). Tap for more steps... Find the phase shift using the formula c b c b. Web(a) What is the period of y = cos (3 x − 3 π )? (b) How many solutions do you expect to find for the equation 2 cos (3 x − 3 π ) + 2 = 0 in the interval [0, 4 π)? (c) Find all solutions of 2 cos (3 x − 3 π ) + 2 = 0 in the interval [0, 4 π). Write your answers in exact form using radians. WebMay 18, 2024 · We also know that the period of the function is: (2/3)*pi This means that: sin (k* (x + (2/3)*pi) = sin (k*x) Remember that the period of the sine function is 2pi, then: k* (2/3)*pi = 2pi k/3 = 1 k = 3 Then the function is: y = sin (3x). If you want to learn more about sine functions, you can read: brainly.com/question/8120556 Advertisement suger smacks cereal add