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Which are the difference between polar and coordinate complex numbers?

Polar and coordinase complex numbers are two different ways of represent the same complex numbers. The polar way uses the following formula: M e^(angle j), where M is the modulus of the complex number and ca...
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Answered by LORENZO M. • Maths tutor
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If we have a vector 4x + 6y + z and another vector 3x +11y + 2z then what is the angle between the two?Give the answer in radians

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Answered by Matthew S. • Maths tutor
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Express 3cos(x)+4sin(x) in the form Rsin(x+y) where you should explicitly determine R and y.

Since Rsin(x+y)=Rsin(x)cos(y)+Rsin(y)cos(x), we can set Rcos(y)=4 (1) and Rsin(y)=3 (2) on comparison to the desired equation. Considering (2) divided by (1) we see that tan(y)=sin(y)/cos(y)=3/4 so y=atan(3/...
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Answered by William V. • Maths tutor
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How Do I Integrate cos(x) and sin(x) with higher powers?

The answer to this question depends on one thing, whether this power is odd or even. For even powers we use the identity cos(2x) = 2cos^2(x)-1 = 1-2sin^2(x). So for example, the integral of cos^2(x) is found...
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Answered by Ciarán R. • Maths tutor
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differentiate: y^2 + 3xy + x + y = 8

dy/dx = 3x+1/ -2y-3x-1
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Answered by Gabrielle F. • Maths tutor
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