Mathematics > A-Level Question Paper > OCR A LEVEL JUNE 2022 MATHEMATICS B PAPER 3 INSERT (All)
OCR A LEVEL JUNE 2022 MATHEMATICS B PAPER 3 INSERT
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For a small angle x radians, the approximation sin x . x is valid. The curve y = sin x and the straight line y = x are shown in Fig. C1.1. Fig. C1.2 shows the curve y = x - sin x. Inspection of the ... graphs suggests that x is a reasonable approximation for sin x for -0.5 G x G 0.5 and also that y = x has the same gradient as y = sin x when x = 0.Trigonometric functions, including sin x, are widely used so it is useful to be able to calculate the value of the sine of any angle accurately and quickly. This is easily done nowadays using a calculator but this was not possible in the past.The quadratic function seems to be a reasonably good approximation for sin x in the interval 15 0 G x G r. [Show More]
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