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Find the value in the equation of T plus 5 plus 3T equal 1?
T + 5 + 3T = 1 Simplify the terms, T and 3T (think 1 apple plus 3 apples) 4T + 5 = 1 Subtract 5 from both sides. 4T = -4 then divide both sides by 4 to get T by itself. T = -4/4 T = -1 To check, substitute T = -1 wherever you see T in your original equation. T + 5 + 3T = 1 (-1) + 5 + 3(-1) = 1 4 - 3 = 1 1 = 1 (check)
Why sine and cosine are functions of harmonic motion?
Simple harmonic motion (SHM( is defined by the second order differential equation: d2y/dt2 = -ky where y is a fubction of time, t and is the displacement (relative to the central position), and k is a positive constant. The equation says is that at any given position of the object undergoing SHM, its acceleration is proportional to its displacement from, and directed towards the central position. The sine and cosine functions are solutions to the differential equation.
How do you solve 3 sin theta 1.5 when 0 isless than or equal to theta which is less than or equal to 4 radians?
I am assuming that the equation is 3*sin(t) = 1.5 even though the equality sign is not visible - due to the browser limitations. Then sin(t) = 1.5/3 = 0.5 So t = sin-1(0.5) which gives the principal value of t = 0.5236. The next value of t, in the domain, is pi - 0.5236 = 2.618 radians. There are no further values in the specified domain.
What does the acronym TRRDX stand for?
The acronym, TRRDX, refers to the T. Rowe Price Retirement 2040 stock. Information about the TRRDX can be found on any stock related website, such as The Street and Market Watch.
Show that cos3t equals 4cos cubed t - 3cos t?
cos(3t) = cos(2t + t) = cos(2t)*cos(t) - sin(2t)*sin(t) = [cos2(t) - sin2(t)]*cos(t) - 2*cos(t)*sin(t)*sin(t) = [cos2(t) - sin2(t)]*cos(t) - 2*cos(t)*sin2(t) then, since sin2(t) = 1 - cos2(t) = [2*cos2(t) - 1]*cos(t) - 2*cos(t)*[1 - cos2(t)] = 2*cos3(t) - cos(t) - 2*cos(t) + 2*cos3(t) = 4*cos3(t) - 3*cos(t)
