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We want to calculate an approximation of cos(7/5), using polynomial interpolation through the three points x₁ = π/6, x₂ = π/4 and x3 = π/3. Calculate the three Lagrange polynomials, defined such that L(x₁) = Sik where dik is the Kronecker delta. Write your results in the form Lk(x) = ak where ak, be and C are integers. x 70 Xx + bk − + ck for k € {1,2,3}, ㅠ

We want to calculate an approximation of cos(7/5), using polynomial interpolation through the three points x₁ = π/6, x₂ = π/4 and x3 = π/3. Calculate the three Lagrange polynomials, defined such that L(x₁) = Sik where dik is the Kronecker delta. Write your results in the form Lk(x) = ak where ak, be and C are integers. x 70 Xx + bk − + ck for k € {1,2,3}, ㅠ

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 71E
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We want to calculate an approximation of cos(7/5), using polynomial interpolation through the three points x₁ = π/6, x₂ = π/4 and x3 = π/ π/3. Calculate the three Lagrange polynomials, defined such that L(xi) = dik where dik is the Kronecker delta. Write your results in the form 2 X ( ² ) ² + b ² / ² + bk = +ck for k € {1,2,3}, 70 ㅠ Lk (x): where ak, bk and C are integers. = ak
Transcribed Image Text:We want to calculate an approximation of cos(7/5), using polynomial interpolation through the three points x₁ = π/6, x₂ = π/4 and x3 = π/ π/3. Calculate the three Lagrange polynomials, defined such that L(xi) = dik where dik is the Kronecker delta. Write your results in the form 2 X ( ² ) ² + b ² / ² + bk = +ck for k € {1,2,3}, 70 ㅠ Lk (x): where ak, bk and C are integers. = ak
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