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The sin rule is used when you need to find a length of a side or an angle. You use the sin rule when you're given an angle, an opposite side length and also an angle or side length opposite to the one you...

(1) Aim to rearrange the right hand side (rhs) to make it look like the left hand side.LHS = 2 cot (2x) + tan (x)(2) Notice that the rhs is only in terms of x, whereas the right has a function involving 2...

(1) Rearrange the equation so that the left hand side is a function of x, and the right hand side is a function of t only.dx/dt = - (5/2) x(1/x)dx = -(5/2)dt(2) Integrate both sidesln(x/A) = -(5/2)t, wher...

x² - 9 = 4x + 12 x² - 9 - 4x = 12 x² - 9 - 4x -12 = 0 x² - 4x -21 = 0 Factorise into form (x + ?)(x + ?) Factors of -21 ar...

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