Implement till 3.62
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@ -258,8 +258,25 @@
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(display "\nex-3.61 - invert-unit-series\n")
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(define (invert-unit-series s) 0)
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(define (invert-unit-series s)
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(cons-stream 1 (mul-series (stream-map - (stream-cdr s))
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(invert-unit-series s))))
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(define X (invert-unit-series cosine-series))
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(display "\nex-3.62\n")
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(assert (sum (take 10 (mul-series cosine-series X)))
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1)
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(display "\nex-3.62 - tan\n")
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(define (div-series ns ds)
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(if (= (stream-car ds) 0)
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(error "denominator is zero -- DIV-SERIES" ds)
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(mul-series ns (invert-unit-series ds))))
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(define tan-series (div-series sine-series cosine-series))
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(assert (< (abs (- (exact->inexact (sum (take 20
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(div-series sine-series cosine-series))))
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1.5574)) 0.001) #t)
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