The McLaurin series of F (x) = x · cos (x ^ 2 / 2) is mainly used to find the n-th derivative of F (x)

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• 1. The derivation of Maclaurin formula F (x) = ln (1 + x)
• 2. How is cos (x) * cos (π / 6-x) = 1 / 2 * [cos (π / 6) + cos (2x - π / 6)] derived?
• 3. 2 (- cos (π / 6) + isin (π / 6)) = 2 (COS (π - π / 6) + isin (π - π / 6)) why is π - π / 6? Who can tell me
• 4. It is proved that the nth power of (1 + cos θ + isin θ) = the nth power of 2 times the nth power of cos θ / 2 (COS n θ / 2 + isin n n θ / 2) Such as the title
• 5. The n-th root of non-zero complex R (COS θ + isin θ) is n complex numbers Is this something for Shanghai college entrance examination?
• 6. Verification: cos α + √ 3 · sin α = 2Sin (π / 6 + α). Need detailed process, thank you
• 7. Can (COS π / 4 + isin π / 4) ^ n be expressed as (Cosn π / 4 + Sinn π / 4)? Why? Here I ^ 2 = - 1
• 8. To prove sin1 / [Cosn ° * cos (n + 1) °] = Tan (n + 1) ° - Tan °
• 9. It is proved that XLN [(1 + x) / (1-x)] + cos x is greater than or equal to 1 + (x ^ 2) / 2 when (- 1 + x) / (1-x)]
• 10. Given the function f (x) = cos π X & nbsp; & nbsp; & nbsp; (x ≤ 0) f (x-1) + 1 & nbsp; & nbsp; (x > 0), then f (43) + F (- 43) =___ ．
• 11. McLaughlin formula of (e ^ x-1) / X expansion
• 12. Is there a similar formula for 1 / cos & # 178; X = sec & # 178; X?
• 13. The formula Sin & # 178; π / 2 = cos & # 178; π / 2=
• 14. What are the formulas of Sin & # 178; α = (1-cos (2 α)) / 2 and Sin & # 178; α = (1-sin (2 α)) / 2
• 15. Sin & # 178; X =? Cos & # 178; =? Theorem formula
• 16. If cos (x + π 4) = 45, X ∈ (− π 4, 0), then SiNx=______ ．
• 17. When x →∞, limx / SiNx = ∞
• 18. F '(SiNx) = cos ^ 2 (x), the calculation of F (x) needs detailed process, This is the exercise there
• 19. What is the formula of 1-cos = 2Sin ^ 2 (x / 2)?
• 20. What is the meaning of E = MC2