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Express cos(x) + (1/2)sin(x) in terms of a single resultant sinusoidal wave of the form Rsin(x+a)

cos(x) + (1/2)sin(x) : Rsin(x + a) = R{sin(x)cos(a) + cos(x)sin(a)} = (1/2)sin(x) + (1)cos(x) (comparing coeffs.) Therefore Rcos(a) = 1/2 and separately Rsin(a) = 1 So tan(a) = 2 and R^2 = 5/4. Answer: sqrt(...
HT
Answered by Hakkihan T. • Maths tutor
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How can you tell whether a word is feminine or masculine?

There is no simple answer for this! In short, the gender of nouns in French must be learnt, rehearsed and repeated until you can't hear the word any other way. Although there are some shortcuts for this, for...
YG
Answered by Yemi G. • French tutor
3872 Views

Find the general solution, in degrees, of the equation 2 sin(3x+45°)= 1

A general way of solving these equations is getting them to the form sin(y)=k . In this case, to do so, we have to divide by 2 and then put y=3x+45° We then get sin(y)=1/2 . You should know which angles have...
CG
9229 Views

The quadratic equation 2x^2+ 6x+7 has roots a and b. Write down the value of a+b and the value of ab.

A general method would be to compute a and b with the general solution formula for quadratic equations. However, a special property of quadratic equations can make this a lot easier. In fact, given the equat...
CG
6202 Views

Define hard engineering in the context of coastal managment

Hard engineering is a method of coastal management that involves the building of large and generally expensive features in order to defend against the sea,this usually includes building sea walls, groynes, a...
LW
5371 Views