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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 ...

Answered by Colin M. • Maths tutor

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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...

Answered by Rahul J. • Maths tutor

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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

...

Answered by Elizabeth O. • Maths tutor

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Jorgen has 20 sweets in his pocket. The sweets are either blue or yellow. He picks a sweet and eats it and takes another sweet and eats it again. The probability of him picking two blue sweets is 6/30. How many yellow sweets does he have in his pocket.

1st step: Firstly we know 3 things: 1. There are 20 sweets in total 2. The sweets are either blue or yellow 3. The probability of picking two blue sweets in 6/30 We let the total number o...

Answered by Yusuf S. • Maths tutor

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Find the coordinates where the curve f(X)= X^2+X-6 touches the x axis using factorisation.

The first part of this question requires be student to realise that touching the x axis equates to f(x) equalling 0, so we must equate the expression to 0.

Next we need to factorise the expression....

Answered by William T. • Maths tutor

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