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This question requires us to make use of the trigonometric identities tan(y)=sin(y)/cos(y) and sin^2y + cos^2y = 1 which are given in the formula sheet of the exam. Since we know that sin(y)/cos(y) can be...

y(x+y)=3,yx +y² =3,Differentiating with respect to x,y+x(dy/dx) +2y(dy/dx)=0when y=1, x=3-1=2 (from original equation)1+2(dy/dx) +2(dy/dx)=0,dy/dx=-1/4

As we are working with an inequality we have to pay attention every time to the symbol, in this case less <, that rules the inequality. The first step to solve it, it is the expansion of the LHS, so we...

This question makes use of the sin addition formula. It may be stated as sin (A + B) = sinA cosB + sinB cosA . We want to rewrite 2 cosx + 4 sinx in the form R sin (x + a), so firstly work out what R sin(...

Firstly it is important to read the whole question to make sure the all the information you have been given is understood. As we know there are 50 bungalows we can use the ratio of flats to bungalows to f...