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Solve for 0<=θ<π, the equation sin3θ-(sqrt3)cosθ=0 (C2)

Rearrange the equation to give sin3θ=(sqrt3)cos3θ, then divide through by cos3θ to give sin3θ/cos3θ=sqrt3. We know from our trig identities that sinx/cosx=tanx, so our equation now becomes tan3θ=sqrt3. Use y...
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Answered by Becky H. • Maths tutor
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Express 2/P(P-2) in Partial Fractions (C4)

To start off with let 2/P(P-2)=A/P + B/(P-2) making the RHS of the equation one fraction gives : (A(P-2)+B(P))/P(P-2). So now we can compare the numerators (as the denominators are the same): A(P-2)+B(P)=2. ...
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Answered by Becky H. • Maths tutor
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Show that sqrt(20) = 2sqrt(5)

We can express sqrt(20) as sqrt (4 x 5). This is equivalent to sqrt(4) x sqrt(5). We know that sqrt(4) = 2. This sqrt(20) can be written as 2sqrt(5).
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Answered by Monika P. • Maths tutor
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In the generic formula 'y=mx + c,' how do you use the 'm' and 'c' to plot a linear graph?

The 'm' value should be used to provide a gradient to the graph (i.e. for every 1 unit the graph moves along the x axis, its y movement will be altered by multiplying 1 by 'm'). Therefore, the higher the 'm'...
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Answered by Thomas G. • Maths tutor
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A line L is parallel to y = 4x+5 and passes through the point (-1,6). Find the equation of the line L in the form y = ax+b.

If line L is parallel to line A it will have the same gradient; in this case, the letter a in the equation y=ax+b represents the gradient. Therefore line L will be of the form y=4x+b. To find the value of b,...
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Answered by Olivia K. • Maths tutor
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