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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)
What is cosine 850?
Cos of 850 degrees?850 deg = 130 + 360*2 = 130 degBy the graph of the cosine: cos(130) = -cos(50)and cos(50) is not a fraction of a root.cos(50) = 0.6427876...Therefore, cos(850) = -0.6427876...
What is the cofunction identity of cos t?
The cofunction identity for cosine states that the cosine of an angle is equal to the sine of its complement. Specifically, this can be expressed as (\cos(t) = \sin\left(\frac{\pi}{2} - t\right)) in radians or (\cos(t) = \sin(90^\circ - t)) in degrees. This relationship highlights the complementary nature of the sine and cosine functions.
How do you graph 1 divided by 4 cos?
0.25
Evaluate the following without a calculator and leave in radical form cos 90 sin 270?
First draw the graph. Label A S T C according to the order of plane. Draw a 90 degree angle. You see it's between All and Sin, so the answer is 0 Draw 270 degree angle. You see it's between Tan and Cos, so the answer is -1 And when you mix them together, 0 times -1 = 0.
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)
What is cos theta minus cos theta times sin squared theta?
cos(t) - cos(t)*sin2(t) = cos(t)*[1 - sin2(t)] But [1 - sin2(t)] = cos2(t) So, the expression = cos(t)*cos2(t) = cos3(t)
What is the Equation for a spiral graph?
See: http://www.mathematische-basteleien.de/spiral.htm r(t) = at x(t) = atcos(t) (a x t x cos(t)) y(t) = atsin(t) There are many kinds of spirals. See the article. Ray
What is sin regression.. is it when you change a cos graph into a sin graph by moving it sideways help?
no
Synchronization techniques in DSBSC system?
Case 1 -Frequency errorMultiplierMultiplierLow passfilterLow passfilter Message signalDSB-SCLocal oscillatorc(t)=Eccos([ct+([)Local oscillatorc(t)=Eccos([ct+([)Condition:Local oscillator has the samephasebutdifferentfrequencycompared to carrier signal at thetransmitter.[m2[c+[m2[c-[mLow pass filterhigh frequencyinformation)(cos]cos)([)([([[t t t mtycc)2(cos)(cos)()(cos)()2(cos)()(21212121[([[(