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Express 3 cos θ + 4 sin θ in the form R cos(θ – α), where R and α are constants, R > 0 and 0 < α < 90°.

To find the value of R, use Pythagoras's Theorem using the coeffecients of cos θ and sin θ. The correct answer should be R=5. Expand the expression  R cos(θ – α). Equate the expanded expression with 3 cos...

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Answered by Anahita G. Maths tutor
23141 Views

The cost of 5 calculators is £35. Work out the cost of 8 of these calculators.

If the cost of 5 calculators is equal to £35, then we can use division to figure out how much one calculator costs. If we divide 35 by 5 we get the number 7. This means that one of the calculators is g...

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Answered by Danielle S. Maths tutor
4437 Views

What are surds and how does multiplying them work?

A surd is an irrational number which cannot be expressed as a fraction or a recurring number. E.g. root 2 = 1.4142135…. and it continues (but it does NOT repeat like a recurring fraction though)

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Answered by Febi S. Maths tutor
8363 Views

How do I use the product rule for differentiation?

The product rule is a rule for differentiating products of expressions, i.e. 2 expressions multiplied together. 

The rule is: if y=AB, then dy/dx=AdB/dx +B*dA/dx. This can be rem...

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Answered by Thomas E. Maths tutor
8548 Views

What is Standard form? And when can I use it?

Standard form, also referred to as standard index form is a method of writing really big and really small numbers. It uses powers of 10 to express its size.Standard form is used all the time in science an...

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Answered by Ceri L. Maths tutor
25224 Views

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