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When do I use the sin rule and when do I use the cosine rule?

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're...
NH
Answered by Natalie H. • Maths tutor
9856 Views

Prove that 2 cot (2x) + tan(x) == cot (x)

(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 2x. ...
JC
Answered by Joseph C. • Maths tutor
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The rate of decay of the mass is modelled by the differential equation dx/dt = -(5/2)x. Given that x = 60 when t = 0, solve the quation for x in terms of t.

(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, where A...
JC
Answered by Joseph C. • Maths tutor
6674 Views

How should I approach analysing an unseen poem in an exam?

Having to write a whole essay on a poem you've never seen before can seem daunting, particularly as you only have five to ten minutes to read and understand it as well as planning your answer. However, the f...
EC
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Solve x^2 - 9 = 4x + 12

x 2 - 9 = 4x + 12 x 2 - 9 - 4x = 12 x 2 - 9 - 4x -12 = 0 x 2 - 4x -21 = 0 Factorise into form (x + ?)(x + ?) Factors of -21 are +7 and -3 or -7 and +3 (x + 7)(x - 3) = x 2 + 7x - 3x -21 = x 2 + 4x -21 which ...
KP
Answered by Kira P. • Maths tutor
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