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Prove that 1/sin(2theta) - cos(2theta)/sin(2theta) = tan(theta)

Before we begin to approach this question, we first write down all the relevant formulae for this trigonometry question. We can see that we will need the double angle formulae (on account of the presence ...

CM
Answered by Colin M. Maths tutor
20761 Views

What is dy/dx when y=ln(6x)?

This is a common question on A2 Maths papers as it tests both the ability to use the chain rule and the ability to differentiate natural logarithms. y = ln(6x) Alarm bells should start ri...

EM
Answered by Eleanor M. Maths tutor
12533 Views

Using mathematical induction, prove De Moivre's Theorem.

De Moivre's theorem states that (cosø + isinø)= cos(nø) + isin(nø). Assuming n = 1 
    (cosø + isinø)= cos(1ø) + isin(1ø)
which is true so ...

SE
Answered by Scott E. Maths tutor
79545 Views

Solve for y: 5(y – 2) + 2(y – 3) = 19

Most important thing is to do the same thing to both sides of the equation. 5(y – 2) + 2(y – 3) = 19 Step 1. Multiply out the brackets:        5y - 10 + 2y - 6 = 19 Step 2. Collect like terms & Simpli...

RJ
Answered by Rahul J. Maths tutor
10361 Views

Solve the following simultaneous equations: 3x + 2y = 16 2x + 3y = 14

Answer: x = 4, y = 2

Method: Eq 1) 3x + 2y = 16 Eq 2) 2x + 3y =14

             Eq 1 x 2) 6x + 4y = 32 Eq 2 x 3) 6x + 9y = 42

            New Eq 2 - New Eq 1) 5y = 10, so y = 2

...

EO
Answered by Elizabeth O. Maths tutor
7792 Views

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