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Find the values of x, where 0 < x < 360, such that x solves the equation: 8(tan[x])^2 – 5(sec[x])^2 = 7 + 4sec[x]

This question tests a variety of mathematical techniques and knowledge which is integral to A-level mathematics. Note that the highest power of a variable function in the mentioned equation, is 2. It is ther...
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Answered by Osian S. • Maths tutor
21269 Views

Eleri invests £3700 for 3 years at 2% per annum compound interest. Calculate the value of her investment at the end of the 3 years. Give your answer correct to the nearest penny.

This question is a classic example of a problem which might catch some students out, if due care is not implemented. Eleri is investing £3700 at 2% per annum compound interest. This means that the sum of the...
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Answered by Osian S. • Maths tutor
7407 Views

How do I solve 7x – 8 = -3x + 2?

I would always approach this type of question methodically in the same way each time to minimise panic in exams. 1. Collect the like terms together (10x = 10) 2.Divide to find the solution (x=10)
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Answered by Madeleine P. • Maths tutor
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How do I remember the area of a circle if it's not in the formula book?

I tend to use rhymes to remember difficult maths formulas - it makes life so much easier! For example, &quot;I never knew how much I cared that the area of a circle is πr²&quot;.
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Answered by Madeleine P. • Maths tutor
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Prove that the derivative of tan(x) is sec^2(x).

Let y = tan(x) Recall the definition of tan(x) as sin(x)/cos(x) Therefore y = sin(x)/cos(x) Use the quotient rule, which states that for y = f(x)/g(x), dy/dx = (f'(x)g(x) - f(x)g'(x))/g 2 (x) with f(x) = sin...
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Answered by Miriam G. • Maths tutor
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