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Find all the solutions of 2 cos 2x = 1 – 2 sinx in the interval 0 ≤ x ≤ 360°.

We know that having cos and sin functions in a question is going to cause us problems - we need a single function of x. So, step 1, we need to rewrite sin or cos in terms of the other. How do we choose wh...

NH
Answered by Nicola H. Maths tutor
21958 Views

How do you expand (2x-1)(3x+4) using the FOIL method?

First, we must understand what the FOIL method is.

FOIL is an ancronym that we use to help us remember the steps when expanding brackets.

F - first 

O - outer

I - inner 

JL
Answered by James L. Maths tutor
5981 Views

Factorise and solve the quadratic equation x^2 + 6x + 8 = 0

Theory

Problems like this need to be broken down into steps: i) Factorise, ii) solve and iii) check. The aim of this question is to find values of ...

TD
Answered by Tutor87306 D. Maths tutor
8188 Views

Find the indefinite integral of sin(2x)(cos^2(x)) with respect to x.

We know from trigonmetric identities that cos(2x) = 2cos^2(x) -1, therefore cos^2(x) = 0.5(1+cos(2x)).

Subbing this in gives the following integrand: 0.5(1+cos(2x))sin(2x).

We can now split ...

PP
Answered by Patrick P. Maths tutor
4836 Views

How can I solve equations like 2x + 3 = 8x + 21?

Questions like this ask you to solve an equation; this means to find a value of x that when put into the equation allows each side of the equation to be equal.

There are th...

TD
Answered by Tutor87017 D. Maths tutor
4575 Views

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